Question

A 6 foot person casts a 26 foot shadow. What is the angle of elevation of the sun? (nearest whole degree)

Answer 1

Answer:

13°

Step-by-step explanation:

The trigonometric ratio formula can be used in calculating the angle of elevation (x°) of the sun, as the person makes a right angle with the ground.

The height of the person would be the opposite length = 6 ft, the shadow of the person would be the adjacent length = 26 ft

Therefore, according to the trigonometric ratio formula, we would calculate angle of elevation (x°) as follows:

$tan x = \frac{opposite}{adjacent}$

$tan x = \frac{6}{26}$

$tan x = 0.2308$

x = tan-¹(0.2308)

x = 12.996

x ≈ 13° (to the nearest whole degree)

The angle of elevation of the sun = 13°