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Tasya [4]
4 years ago
5

A tree that is 10 yards tall and casts a shadow 14 yards long. find the angle of elevation from the tip of the shadow to the top

of the tree. Round to the nearest degree
-54 degrees
- 36 degrees
- 46 degrees
- 44 degrees

Mathematics
2 answers:
vagabundo [1.1K]4 years ago
8 0

Answer:

36 degrees

Step-by-step explanation:

Refer the attached figure .

Height of tree i.e. AB = 10 yards

Length of shadow i.e. BC = 14 yards .

We are required to find the angle of elevation from the tip of the shadow to the top of the tree. i.e. ∠ACB

Now, we will use trigonometric ratio.

tan\theta = \frac{Perpendicular}{Base}

tan\theta = \frac{AB}{BC}

tan\theta = \frac{10}{14}

tan\theta =0.714

\theta =tani^{-1}0.714

\theta =35.52^{\circ}

Thus the angle of elevation is 35.52° ≈ 36°

Hence  the angle of elevation from the tip of the shadow o the top of the tree. i.e. ∠ACB  is 36°

Montano1993 [528]4 years ago
7 0
The correct answer is 36 degrees.
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A cab company charges three dollars per cab ride plus an additional two dollar per mile driven how long is a cab ride that cost
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Step-by-step explanation:

In this question we are given:

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Step-by-step explanation:

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27.034%  
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