Question

How tall is a building that casts a 74-ft shadow when the angle of elevation of the sun is 36°?

Answer 1

Answer:

101.85ft

Step-by-step explanation:

We can use tan here

$tan\theta=\frac{opp}{adj}\\adj = \frac{opp}{tan \theta} \\adj = \frac{74}{tan(36)} = 101.85$

Answer 2

The height should be 101.85 ft.

Calculation of the height:

Since it casts a 74-ft shadow when the angle of elevation of the sun is 36°

So, the height should be

Here we can use tan

$= 74\div tan\ 36$

= 101.85 ft

Therefore, we can conclude that The height should be 101.85 ft.

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