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solniwko [45]
3 years ago
5

A tree casts a shadow that is 20 feet in length. if the angle of elevation is 32 degrees, which of the following best represents

the height of the tree?
A. 10.5 FT
B. 9.5 FT
C. 11.5 FT
D. 12.5 FT

Mathematics
2 answers:
swat323 years ago
7 0
The answer woudl be d

34kurt3 years ago
7 0

Answer: D. 12.5 FT

Step-by-step explanation:

Let the height of tree be x.

Assume tree is standing vertical to the ground, then it will make right triangle with the shadow of the tree.

Given: The length of the shadow: 20 feet

Using trigonometry,

\tan\thetha=\dfrac{\text{side opposite to }\theta}{\text{Side adjacent to }theta}\\\\\Rightarrow\ \tan32^{\circ}=\dfrac{x}{20}\\\\\Rightarrow\ x=\tan32^{\circ}\times20\\\\\Rightarrow\ x=0.6248693519\times20\\\\\Rightarrow\ x=12.497387038\approx12.5\ ft.

Hence, the height of tree= 12.5 ft.

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romanna [79]

Answer:

15 weeks

Step-by-step explanation:

Jon will increase his weigh 2 lbs a week which means he will be 178 lbs in 15 weeks{148+(15*2)} while Matt will decrease his weight from 1 lbs which means he will be 178 lbs in 15 weeks (193-15=178).

3 0
3 years ago
Determine the product of (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
likoan [24]

Answer:

Step-by-step explanation:

a) = 46.2 X 10∧-1

   =0.462

b) = 5.7 x 10∧-6

   = 0.00057

3 0
3 years ago
Two lines, A and B, are represented by the equations given below!
lara [203]

Answer:

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}

y-3x=4

-

\underline{y-x=-4}

-2x=8

\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}

solve for x

-2x=8

Divide both sides by -2

\frac{-2x}{-2}=\frac{8}{-2}

x=-4

\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4

y-\left(-4\right)=-4

y+4=-4

y=-8

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

8 0
3 years ago
Select the correct answer from the drop-down menu. The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 ce
MrMuchimi
I believe the answer is (B) 1 TIME
4 0
3 years ago
Type the correct answer in each box.
MariettaO [177]

Answer: G

Step-by-step explanation:

Data: Point which has the coordinates of (-2.5, 5.5)=x

Only step, find those two coordinates on the table

Explanation: Since the question is asking you to find  which point has those two coordinates, all you have to do is instead of finding all the coordinates of the points, just search for the coordinates provided and see what point it lands on.

For this problem, it lands on Point G so the answer is Point G(or just G)

I hope this helps!

4 0
3 years ago
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