Question

What is the angle of elevation of the sun when a 49-ft mast casts a 10 ft shadow?

Answer 1

Step-by-step explanation:

$tan \theta = \frac{49}{10} = 4.9 \\ \\ \therefore \: \theta = {tan}^{ - 1} 4.9 \\ \\ \therefore \: \theta = {tan}^{ - 1} (tan \: 78.465379346 \degree) \\ \\ \huge \red{ \boxed{\therefore \: \theta = 78.5 \degree}}$

Hence, angle of elevation of sun is 78.5°.