Kim is standing on the rim of a canyon and her friend, Karl, is standing on the floor of the canyon (see figure). Karl carefully paced off his distance d from the canyon escarpment and reported to Kim via radio that the distance was approximately d = 20 feet. Using a simple plastic protractor, Kim estimates that Karl's position lies at ? = 40° from the vertical, relative to the edge of the cliff. Estimate the height of the canyon escarpment, h, to the nearest foot. [Assume that the points corresponding to the cliff face, the cliff base, and Karl's position form a right triangle.]

Question

a. 18 ft

b. 24 ft

c. 26 ft

d. 31 ft

e. 17 ft

Answer 1

b. 24 ft