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

tanα=height/shadow

α=arctan(height/shadow)

α=arctan(292/131)°

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

Answer 2

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

x =  65.84 degrees