A tree 16 feet tall casts a shadow which forms an angle of 40° with the ground. How long is the shadow to the nearest hundredth of a foot?

Answers

Answer 1

Answer:

x = 19.06 feet

Step-by-step explanation:

Given that,

The length of a tree, h = 16 feet

It casts a shadow which forms an angle of 40° with the ground.

We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,

[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]

So, the length of the shadow is 19.06 feet.


Related Questions

Mr. Crain wants to decorate his door for the first day of school. The door is 7 feet tall and 3 feet wide. How many square feet of paper will Mr. Crain need to cover the door before he decorates it?

Answers

Answer:

wirebdjd

Step-by-step explanation:

dkejdkenfjzmdmf

A little help here?????????????????????????????? (please help I really need it)

Answers

Answer:  2  1/4 inches.

Step-by-step explanation:

3 * 3/4 = 9/4 = 2 1/4

hope it helps pls mark me brainliest

Answer:

2  1/4 inches

Step-by-step explanation:

I need help with this please

Answers

9514 1404 393

Answer:

  8. (d)  19

  9.  94°

Step-by-step explanation:

8. The similarity statement tells you corresponding sides are proportional.

  CB/CA = FE/FD

  g/9 = 95/45

  g = 9(95/45) = 9(19/9)

  g = 19

__

9. The similarity statement tells you ∠J ≅ ∠M.

  ∠M = 180° -∠P -∠K = 180° -32° -54° = 94°

  ∠J = 94°

2^3 . 2^4
i need help with this

Answers

2^3 makes 8
2^4 makes 16
Does this help... Or are you looking for 2^3 times 2^4 makes?

Answer:

So, what I think you might have meant is 2^3 x 2^4, so I'll solve that

2^3 = 8

2^4 = 16

16 x 8 = 128

Step-by-step explanation:

Hope this helps! Have a great day

can someone help on this?
please

Answers

Answer:

3848.45cm^2

Step-by-step explanation:

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

The total cost for potatoes, y, at a grocery store can be modeled by the equation y = 0.59x, where x is the number of pound of potatoes.
What is the most appropriate domain of the function?

Answers

Answer:

all nonnegative rational numbers

Step-by-step explanation:

HELP DUE IN 30 MINS!


Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.


If they are not congruent or there is not enough information, then write not possible in each blank.


Postulate:

Congruence Statement: ΔTAF ≅ Δ:

Answers

Answer:

Step-by-step explanation:

TAF ~=TUG

Postulate : AAS

[b] A right circular cylinder whose volume is 704 cm and its diameter length is 8 cmn.
» then find its height
​HELP ASAP!!

Answers

Answer:

volume of cylinder=704 cm³

πr² h=704

22/7 ×(8/2)²h=704

50.28h=704

h=704/50.28=14.001=14cm

Which set of characteristics produces one unique triangle

Answers

Answer:

The first one because all characteristics mentioned in other options makes an scalene triangle but the first option makes isosceles triangle.

Alyssa’s family has completed 80% of a trip. They have driven 40 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

i just know

Evaluate.
5.002 - 4.3

Answers

Answer:

0.702

Step-by-step explanation:

the answer is 0.702 :) hope this helps

HELP QUICK, I WILL DO ANYTHING, I WILL GIVE BRAINLIEST AND 15 POINTS HELP QUICK
I need help with writing an expression for this figure.

Answers

Answer:

2bs + b^2, this is the equation to find the surface area. B is base length and s is slant height.

Step-by-step explanation:

At a school
The ratio of the number of boys to number of girls = 9:7
There are 100 more boys than girls.
Work out the total number of students at the school.

Answers

Answer:

1600

Step-by-step explanation:

b : g : total

9 : 7 : 16

difference-> 9-7=2

2u->100

1u-> 50

16u-> 1600

Stephanie spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

Answers

Answer: $3.85 per/gal.

Step-by-step explanation:

$46.20/ 12 =

Please help, i really need help

Answers

Answer :

35 hot dogs and 52 sodas were sold.

Step-by-step explanation:

Let the no. of hot dogs sold be x and no. of sodas sold be y .

Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.

Hope i was able to help:)))

Apple, carrot, and celery juices are mixed in a ratio 3 : 1 : 2. The amount of appe juice is 33 millimeters.

a) How much more apple juice is used in the mixture than carrot juice?

b) What is the total amount of the mixture?

Answers

Answer:

A) 3 times more apple juice is used than carrot juice aka 22 more millimeters

B) 66 millimeters

Step-by-step explanation :

3 : 1 : 2     aka     33 : 11 : 22

You have the ratio, so you just have to divide 33/3 and you know you have to multiply that awnser times the other ratios.

So...

33/3 = 11

3 x 11 = 33

1 x 11 = 11

2 x 11 = 22

So the ratio is 33 : 11 : 22

Then, A is asking you how much more apple juice than carrot juice, so subtract ( amount of apple juice - amount of carrot juice )

33 - 11 = 22 millimeters more apple juice than carrot juice

Then, B is asking you how much juice is there in total. So just add all the juices together....

33+22+11 = 66

So 66 milimeters of juice all together

(a) The apple juice is 22 ml more than the carrot juice.

(b) The total amount of the mixture is 66 ml.

Ratio:

Important information:

The ratio of Apple, carrot, and celery is 3 : 1 : 2.Amount of apple juice is 33 ml.

(a)

Let the quantity of Apple, carrot, and celery is 3x, x, 2x respectively.

[tex]3x=33[/tex]

[tex]x=11[/tex]

Difference between Apple and carrot juice is:

[tex]3x-x=2x[/tex]

[tex]3x-x=2(11)[/tex]

[tex]3x-x=22[/tex]

Therefore, the apple juice is 22 ml more than the carrot juice.

(b)

The total amount of the mixture is:

[tex]3x+x+2x=6x[/tex]

[tex]3x+x+2x=6(11)[/tex]

[tex]3x+x+2x=66[/tex]

Therefore, the total amount of the mixture is 66 ml.

Find out more about 'Ratio' here:

https://brainly.com/question/13968982

Only the smartest person in math knows the answer!

Answers

Answer:

16-4x^2

Step-by-step explanation:

Answer:

The answer is 16-4x^2

Step-by-step explanation:

Hope this helps!

what is the area of the triangle with base 5.8cm and height 4.6cm?​

Answers

The answer is 13.34 cm²

Explanation:

Area of triangle = base * height ÷ 2

5.8 * 4.6 ÷ 2

= 26.68 ÷ 2

= 13.34 cm²

If represents the number of bacteria in a culture at time t, how many will there be at time

Answers

Answer:

Population of bacteria at  time [tex]t = 6[/tex] is [tex]2441[/tex]

Step-by-step explanation:

The complete question is

If [tex]y = 10 (2.5)^t[/tex]represents the number of bacteria in a culture at time t, how many will there be at time [tex]t = 6[/tex]

Solution

Given

The population of bacteria after time t is equal to [tex]y = 10 (2.5)^t[/tex]

Population when at time [tex]t = 6[/tex]

We will substitute the value of time in above equation.

[tex]y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441[/tex]

PLEASE HELP ME!!!ITS DUE TODAY!!

Answers

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:

9 x 7 = (? x 7) - (1 x 7)
= 70- ?
= ?

Answers

Answer:

70 / 7

? = 10

Step-by-step explanation:

63 = 7 * ? - 7

70 = 7 x ?

70 / 7 = ?

? = 10

Answer:

-364

Step-by-step explanation:

ok so just followed the equation and got that

49/5

into mixed fraction

will mark you brainliest and will give you 14 points(this is for my younger sister's exams so please give her an answer) please tell her how to do it with an explanation

Answers

The Answer Is 9 4/5.

Tell Her/Ask Her This:
You Can Use Long Division.
How Many Time Does 49 Go In To 5?

you mow 3 lawns in 5 hours. How long will it take to mow 9 lawns? Explain your thinking​

Answers

it will take 15 hours to mow 9 lawns

how to change a fractiion in decimal example 108/30 change this in decimal

Answers

Step-by-step explanation:

decimal decimal six

it is helpful

The price of a bicycle Rocco wants to pay is $282. If the sales cost is 4% of the total price how much sales tax will Rocco pay?

Answers

Answer:

$11.28

Step-by-step explanation:

Given data

Cost of bicycle= $282

tax= 4%

let us find the sales tax

=4/100*282

=0.04*282

=$11.28

Hence the sales tax is $11.28

Need help on this please help

Answers

262 is the answer :)

Please help I’m a 4 grader need help with this I’m not sure how to do this

Answers

10 divided by 5 = 2 times 2 = four :)

Answer:

10 ÷ 5 = 2 × 2= 4. 4 is your answer

Step-by-step explanation:

its easy. when you see a number () thats just multiplication. so basically the equation is really just saying 10 ÷ 5 × 2

HELP!!! PLEASEEEEEE!!!!!
Write in point-slope form an equation of the line that passes through the point (9, 5) with slope 3

Answers

Answer:

[tex]y _{1} - y = m(x _{1} - x) \\ \\ 5 - y = 3(x - 9) \\ \\ 5 - y = 3x - 27 \\ - y = 3x - 27 - 5 \\ - y = 3x - 32 \\ y = - 3x + 32[/tex]

I hope this help

(6, -3) answer choices
(3, -6)
(0, 0)
(0, 5)

Answers

Answer:

(6, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (6, - 3 ) ← solution

Other Questions
Kameh owns a bakery. The table below shows his recorded income and expenses for the bakery.Month Income (s) Expenses (S)January1,606 1,664.75February 1,378 1432.62March 1,225 1,225.00June 2,381 1,995.55July2,3912,083.68August 2,187 1,802.63Part 1 out of 2Drag and drop the names of the months in which the income was greater than the expenses into the box.FebruaryJanuaryAugustJulyMarchJune Y= 5x+3 find the slope m= A scientist brings you a sample that is supposedly a new species of Archaea. You examine it carefully and find that it has circular DNA, lacks organelles, is gram positive, has simple flagella and divides by binary fission. After examining the evidence, you should: The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle AnswerA 5cm and 5 cmB 7cm and 8cmC 4cm and 4cmD 9cm and 10 cmPlease i need to know how much time has taken place between chapter 1 and chapter 2 of lord of the flies Factorize2(x+y) +9 (x+y)+7 an ____ involves drug testing on humans A company's profit from 1990 to 2020 is modeled by P(t) = .35t^2 - 10.7t + 125.38 where t=0 represents 1990. In which year did the company make the minimum profit? b. x +6 -1 what is 2/4 x 3/5 = 3.14 A Sheet of metal weighing 750 g absorbs 15,650 J of energy when its temperature increases from 25C to 250C what is the specific heat of the metal A ______ is a cycle or orbit around the sun find the volume of metal required to make a closed box of thickness 1 cm with external measurements 12 cm 7 cm 10 what is the volume of the cylinder shown below to the nearest hundredth of a cubic meter 3.5 m w 2 m height An employee plays $75 towards health insurance, while the employer pays $350. What is the ratio of the employers contribution to the employees contribution? Which statement best describes the governmental power under the articles of confederation? a) a strong chief executive headed a unified central government b) power was shared equally by the central government and the states c) the power of the states greatly exceeded the power of the central government. d) a balance of the power existed among the three branches of the central If x = 15 and y = 4, what is the value of the following expression?x - 8 + 3y A. 52 B. 19 C. 41 6th grade math help me please... Which of the following best describes a provision of the Fugitive Slave Act?The act denied enslaved people the right to a trial by jury.The act granted Northerners the right to protect fugitives,The act shielded citizens from turning in fugitives,The act granted fugitives freedom after a period of one year. What do leases contain?