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

Mathematics

1 answer:

kvasek [131]3 years ago

6 0

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°

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