Question

A certain flagpole that is 292 feet tall casts a shadow 131 feet long. Find the angle of elevation of the sun. The sun's angle of elevation is °.

Answer 1

tan x = 292 / 131 where x = angle of elevation

x = 65.84 degrees

Answer 2

tanα=height/shadow

α=arctan(height/shadow)

α=arctan(292/131)°

α≈65.84° (to nearest hundredth of a degree)