What Is The Height Of The Television Tower To The Nearest Foot?
1October 27, 2009 by Atila
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.
Category HDTV | Tags: Foot, Height, Nearest, Television, Tower
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