The angle of elevation of the sun is decreasing at 1/4 rad/h. How fast is the shadow cast by a building of height 30 m lengthening, when the angle of elevation of the sun is π/4?

Question

The angle of elevation of the sun is decreasing at 1/4 rad/h. How fast is the shadow cast by a building of height 30 m lengthening, when the angle of elevation of the sun is π/4? Leave your answer in exact form.

Answer 1

when the angle of elevation of the sun is π/4​ radians, the shadow cast by the building is lengthening at a rate of 1/60​ meters per hour.