Question

The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Answer 1

4.09 m

Explanation:

Let the length of the shadow cast by a person be x m.

`\tan \: 24 \degree = (height \: of \: person)/(length \: of \: the \: shadow) \\ \\ 0.4452286853 = (1.82)/(x) \\ \\ x = (1.82)/(0.4452286853) \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m`