helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

Helicopter Is Flying At An Elevation Of 450 Feet. It Is Within Sight Of The Landing Pad And The Pilot
Answer 2

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

To know more about Trigonometry click the link given below.

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Related Questions

Which of the following is the additive identity for rational numbers?
Choose 1 answer:

A. Reciprocal of the number

B. 0

C.1

D.Negative of the number

Answers

Answer:

B

Step-by-step explanation:

For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

Write an equation in slope-intercept form that represents the data. Show ALL work.
1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation

Answers

Answer:

y = 5x + 100

Step-by-step explanation:

Using the x and corresponding y values from the given table.

Let's use the coordinate (0, 100) and (1, 105)

The equation in slope intercept form is expressed as y = mx+c

m is the slope

c is the y-intercept

Slope m = y2-y1/x2-x1

m = 105-100/1-0

m = 5/1

m =5

Get the y intercept

Substitute the slope m = 5 and any point say (0, 100) into the equation

y = mx+c

100 = 5(0) + c

100 = c

c = 100

Get the required equation;

y = mx+c

y = 5x + 100

Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100

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Answers

Answer:

y = 0.35x + 2.5

Step-by-step explanation:

50% of _= 2

help!!! thanksssss

Answers

Answer:

100

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)

Answers

the answer is x1 = 1 , x 2 = 4.
(1,4)

Answer:

I think A but i'm not sure

Step-by-step explanation:

PLZ HELP!

Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

2% you have to cross multiply 53.20times 100 then divide by 1820

Step-by-step explanation:

2.6% b/c 1820×2.6/100

please help i’ll do anything and give the brain thing :((

Answers

Answer:

add me on snap kharding1805 and I will add you back

What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7

Answers

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

Learn more check digit here:

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A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).

Answers

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

find the square root of 5.494
[tex] \sqrt{5.494} [/tex]

Answers

Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

[tex]\sqrt{5.494}[/tex]

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

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Answers

Answer:

hmmmmmmmmmm i think its inverse operation

Solve h
-7 3/4 - h = 18 1/2

Answers

h = -26 1/4 ...........

what is the mean absolute deviation of the numbers in the list?

32, 43, 38, 28, 51

A. 34.4
B. 6.88
C. 38.4
D. 7.68

Answers

Answer:

The mean for these numbers would have to be 38.4

Forgive me if I'm wrong!

Step-by-step explanation:

What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree

ANSWER IS 150 DEGREES

Answers

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

Degree =  5π /6 x (180°) / π

             = 5 /6 x  (180°)

             = 150°

Learn more about Degree;

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1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.

Answers

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?

Answers

Answer:

Brand A is the better buy

Step-by-step explanation:

bag Which is the better buy?

Step one

Brand A: $5 for 80 pounds of sand

Let us find the unit cost

Unit cost =5/80

=$0.0625 per pound

Brand B: $14 for 175 pound

The unit cost is

=14/175

=$0.08 per pound

Factor the following 36k^2-1

Answers

answer

[tex] {36k}^{2} - 1[/tex]

using identity

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

let a=6k and b=1

we get

[tex](6k + 1)(6k - 1)[/tex]

hope you are satisfied

What is 6 - 2 over 3 (x + 5) = 4x algebraically

Answers

Answer: x = 4/7

Explanation and steps is in the image below.

The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

What is the equation?

The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6 - 2(x + 5)/3 = 4x

Apply the distributive property of multiplication,

6 - (2x + 10)/3 = 4x

(2x + 10)/3 + 4x = 6

2x/3 + 10/3 + 4x = 6

2x/3 + 4x = 6 - 10/3

Take the LCM in the above equation,

14x/3 = 8/3

14x = 8

x = 8 / 14

x = 4 /7

Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

Learn more about equations here:

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How many integers are there between -12 and 12?

Answers

-24 hope this helped!!!!!!!!!

x – 3 + 9x + 7 what is the awnser

Answers

Answer:

10x+4 or 2(5x+2)

Step-by-step explanation:

you just add

Answer:

Guide for how to get your answer and your answer

step 1

   Find roots (zeroes) of :       F(x) = x3-9x-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -7.

step 2

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,7

Lets test

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -7       1        -7.00        -287.00    

     1       1        1.00        -15.00    

     7       1        7.00        273.00

found no rational roots.

(end equation of part 2)  x3 - 9x - 7  = 0

step 4

Solve   x3-9x-7 = 0

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is   F(x) = x3 - 9x - 7

At   x=   -3.00   F(x)  is equal to  -7.00

At   x=   -2.00   F(x)  is equal to  3.00

Intuitively we feel, and justly so, that since  F(x)  is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl,  F(x) is zero,

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

Next Middle will get us close enough to zero:

    F( -0.844759464 ) is  -0.000000848  

    The desired approximation of the solution is:

      x ≓ -0.844759464

0.844759464 is your answer..

Step-by-step explanation:

Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.

Answers

Answer:

Jennifer is wrong

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

Solve -17 =
7 / 3 for x.

Answers

men i dont even know

Help Pls Fast! (55 POINTS!)

Answers

Answer:

Close to 6 miles. Exact is between 5.7 and 6

Step-by-step explanation:

Answer:

no  

Step-by-step explanation:

Taylor is buying a new flashlight. He can choose from red, blue, and silver flashlights that come in both a large size and a small size.
Which list shows all the possible flashlights that Taylor can choose?
A large, small

B. red, blue, silver

c. small red, small blue, large red, large silver

D small red, large red, small blue, large blue, small silver, large silver

Answers

Answer:

D

Step-by-step explanation:

It has all the flashlight colors and sizes.

PLEASE HELP ME WITH THIS PROBLEM ASAP

Answers

Answer:

8

Step-by-step explanation:

32/4=8

Answer: 8 minutes

Step-by-step explanation: You can use a proportion to calculate.

[tex]\frac{32}{4} = \frac{x}{1}[/tex]

32 x 1 / 4 = 8

8 minutes = 1 mile

Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE

Answers

Answer:

 (0 -  (9 • (a^666))) -  (22•3ab^6)

 (0 -  32a^666) -  (22•3ab^6)

  -12ab^6 - 9a^666  =   -3a • (4b^6 + 3a^665)

Final result :

 -3a • (4b^6 + 3a^665)

Step-by-step explanation:

How many different ways can you write a ratio?

Answers

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

ten divided by three

Answers

Answer:

3.333333

Step-by-step explanation:

thats what it is my guy

Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need?

Answers

Answer:

18 eggs

Step-by-step explanation:

6 family member has 1 omelet, each omelet needs 3 eggs, 6 x 3 = 18 eggs :D

Bananas are 3/4 water. What percent of a banana is made up of water?

Answers

Answer:

75%

Step-by-step explanation:

3/4 in decimal form is 0.75

0.75 x 100% = 75%

Thus 75% of the banana is made up of water.

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