From a boat on the lake the angle of elevation to the top of

From a boat on the lake, the angle of elevation to the top of a cliff is 31degree59\'. If the base of the cliff is 2, 267 feet from the boat, how high is the cliff (to the nearest foot)? 1, 429 ft 1, 416ft 1, 426 ft 1, 419 ft

Solution

theta=31degre 59\'

theta=31.98degree

tan theta=opposite/adjacent

tan 31.98=opposite/2267

opposite=2267 tan31.98

opposite=1416 feet

And yes that\'s the correct option