Mathematics College



An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an

angle of elevation of 50 degree. Find the height above the ground.

Answers

Answer 1

Answer:

The height is 14.3 km

Step-by-step explanation:

Given

[tex]distance= 12km[/tex]

[tex]\theta= 50[/tex] --- angle of elevation

Required

Determine the height above the ground

The question is illustrated using the attached image.

To calculate the required height, we make use of:

[tex]tan(\theta) = \frac{AB}{BC}[/tex]

Where AB represents the height and BC, the distance.

So:

[tex]tan(50) = \frac{AB}{12}[/tex]

Make AB the subject

[tex]AB = 12 * tan(50)[/tex]

[tex]AB = 12 * 1.1918[/tex]

[tex]AB = 14.3016[/tex]

[tex]AB = 14.3km[/tex] --- approximated

An Airplane Is Observed To Be Approaching The Air Point. It Is At A Distance Of 12 Km From The Point
Answer 2

The height of the airplane above the ground is 9.19 km.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the airplane above the ground. Hence:

sin(50) = h / 12

h = 9.19 km

The height of the airplane above the ground is 9.19 km.

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Related Questions

what is the value of X and Y ​

Answers

Answer:

x = 2.25 y =6

Step-by-step explanation:

Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9    8 x 3/4 = 6   3 x 3/4 = 2.25

Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Solve.
5) Solve 2y + 12 < 42.
Show your work.

Answers

The answer is y < 15

Answer:

y<15

Step-by-step explanation:

Subtract 12 from both sides.

2y+12−12<42−12

2y<30

Step 2: Divide both sides by 2.

2y

2

<

30

2

y<15

Answer:

y<15

Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set
up an equation using the information given.

Answers

LET,
The present age of Sam be a
& the present age of mark be b
According to question,
6(a+b)=30 (now solve it !)

Hope this helps !

Please mark it as the brainliest <3

Answer:

(m+6)+m=30

Step-by-step explanation:

y = 2Vx+4

vertex:
domain:
range:
y-intercept:
x-intercept:

Answers

Answer:

y = 2vx+4

x= y/2v - 2/v

Domain (-infinite sign , infinite sign)

Range (-infinite sign , infinite sign)

vertex center (0,0)

vertices (2,0) , (-2,0)

Foci (6,0) , (-6,0)

Eccentricity 6/2

focal 6/3

Asymptotes : y=2x/2 , y=-x2/2

If the perimeter of A is 36ft and the perimeter of B is 48 ft, what is the perimeter of square C?

Answers

Answer:

64

Step-by-step explanation

48/36=4/3

36x4/3=48 so...

48x4/3=64

Answer:

64

Step-by-step explanation:

What are the two consecutive whole numbers that the quotient for 86/11 is between?

Answers

Answer:

7 and 8

Step-by-step explanation:

The quotient is the answer to a division problem.

86/11= 7.81818182

This number is in between 7 and 8

Determine whether the given answer is a Solution or Not a Solution
x<6 x=3
x≥10 x=10
x>−3 x=−6
x≤15 x=20
x<9 x=9
x≥8 x=12

Answers

Answer:

1- yes

2- yes

3- no

4- no

5- no

6- yes

Step-by-step explanation:

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

What is the value of p in the equation
8p +2 = 4p - 102
1) 1
2) -1
3) 3
4) -3

Answers

Answer:

-26

Step-by-step explanation:

sorry but from my calculations I didn't get any of the options I got -26

How to get 10 with the numbers 7, 11, 4 and 2 in that order?

Answers

Answer:

Huh!! What is this question supposed to mean?

(fractions) 3/4 + 1/5

Answers

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

can someone help me please

Answers

Answer:

i think its b

Step-by-step explanation:

Hi. I need help with math. 8th grade.

Answers

Answer:

260 is the answer. jjrjejjehene

Please find the circumference, will give brainliest!

Answers

Answer:

43.96

Step-by-step explanation:

Help on question 5 please :))

Answers

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

A rectangular balcony is 10 feet long and 4 feet wide. What is its area?

Answers

10 x 4 = 40cm^3

The area is 40cm^3

Caleb is comparing the growth of plants using two different fertilizers

Part A use the measures of center from the box plots to make an inference about the data. Use the drop down menus to explain your answer

Part B use the box plots to make an inference using the variability of the data. Drag words to complete the statement. Words may be used once, more than once, or not at all.

Answers

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Answer:

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Step-by-step explanation:

For every quarter spent, Reggie receives 75 food pebbles to feed the fish at a hatchery. Reggie has thrown 600 food pebbles into the fish pools. How many quarters did Reggie spend at the hatchery?

Answers

Rigger has spent eight quarters

Answer:

8

Step-by-step explanation:

A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?

Answers

square has four sides
14x4=56

Answer:

56 cm (22.4 in)

Step-by-step explanation:

14+14+14+14=56 or 14x4=56

Jake is 5 years older than his brother Kevin.
Kevin is k years old. Write an algebraic
expression for Jake's age.

Answers

I don’t know let me do the math real quick !!

Answer:

5+k

Step-by-step explanation:

its saying jake is 5 MORE then kevin so either add or multiply.

Find the volume of the triangular prism.
PLEASE HELP!

Answers

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

I thinks it’s 4.8 sorry if it’s wrong.

Graph the inequality on a grid which resembles the image. 400x + 4y < 2000

Answers

Answer:

te awnser is

Step-by-step explanation:

Which of the following could result in higher living costs for the homeowner that the renter doesn't have?
a. decreased property value
b. down payment
C. maintenance
d. monthly payment
Please select the best answer from the choices provided
ΟΟΟΟ
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

MAINTENANCE

Step-by-step explanation:

Pls helppp I don’t understand also if you can can you show the works pls if you can tho

Answers

Answer:

I would help but it is just black try to repost it and i will tell you what it is

Step-by-step explanation:

Answer There is only a black picture :)

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?

Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

write the fraction whole
diameter is 7 and numerator is 4​

Answers

Answer:

[tex]\dfrac{4}{7}[/tex]

Step-by-step explanation:

A fraction can be written as :

[tex]F=\dfrac{x}{y}[/tex]

Where

x is numerator and y is denominator

We need to write a fraction for denominator 7 and numerator 4.

Substitute the values,

[tex]F=\dfrac{4}{7}[/tex]

Hence, the fraction is equal to [tex]\dfrac{4}{7}[/tex].

what is 9^7 written in expanded form ​

Answers

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

it's basically 9 multiply by itself for 7 times

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

35%

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.

help me with this thank you​

Answers

Answer: think it’s c 4/28

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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