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.

Question

asked Mar 17, 2021 52.8k views

1 Answer

Gauravphoenix · Answer 1 · 2021-03-23T10:16:12+0000

Answer:

50.6°

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:

$tan(\theta) = (opposite)/(adjacent)$

Plug in the values

$tan(\theta) = (78)/(64)$

$tan(\theta) = 1.21875$

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

$\theta = 50.6$ (nearest tenth)