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What is the height of the television tower to the nearest foot?

Delores and Bill are standing 100 feet apart in a straight line with the WWV television tower. The angle of the elevation from from Bill to the tower is 30° and the angle of the elevation from Dolores is 20°. Find the height of the television tower to the nearest foot.

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1. Tan(30) = height of tower / distance to tower Tan(20) = height of tower / distance to tower + 100 ft .5774 = h / d .3640 = h / (d + 100) .5447 d = h .3640 (d + 100) = h .5447 d = .3640 (d + 100) .5447 d = .3640 d + 36.4 .1807 d = 36.4 d = 201.44 ft .5774 (201.44) = h h = 116.31 ft