Question

What is the angle of elevation of the sun when a 49ft mast casts a 21ft shadow?

Answer 1

66.8°

Step-by-step explanation:

We can represent the situation with the following figure

So, we can calculate the measure of angle θ as follows

`\begin{gathered} \tan\theta=\frac{\text{ Opposite side}}{\text{ Adjacent side}} \\ \\ \tan\theta=(49)/(21) \\ \\ \tan\theta=2.33 \\ \theta=\tan^(-1)(2.33) \\ \theta=66.8 \end{gathered}`

Therefore, the elevation of the sun is 66.8°