Question

A tree is growing at the edge of a cliff. From the tree, the angle between the base of the cliff and the base of a nearby house is 62 degrees. If the distance between the base of the cliff and the base of the house is 500 feet, how many feet tall is the cliff?

Answer 1

Assuming the cliff is vertical and of height h feet, we have

500/h = tan 62° = 1.88
h = 265.85 or 266