Question

A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of

the sun?. Draw a right triangle and round to the nearest tenth of a degree.

Answer 1

Answer:

50.6°

Step-by-step explanation:

The reference angle = angle of elevation $(\theta)$

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(\theta) = \frac{78}{64}$

$tan(\theta) = 1.21875$

$\theta = tan^{-1}(1.21875)$

$\theta = 50.6$ (nearest tenth)