Question

2. A boy who is 5 feet 6 inches tall casts a shadow that is 8 feet and 3 inches long. What is the measure of the
angle of elevation of the sun, A, as shown in the picture. Round to the nearest degree. Be careful with your
units in this problem.

Answer 1

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

$\tan(A) = \frac{5.5}{8.25}$

$\tan(A) = 0.6667$

$A= {\tan}^{ - 1} (0.6667)$

$A=33.69 \degree$

To nearest degree is 34°