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?

1 answer

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

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