A wire to the top of a tower makes an angle of 52 with the le el ground. At a point 32 ft. Farther from the base of the toser and in líne with the base of the wire, the angle of elevation to the top of the toser is 21. What is the length of the tower.

Answer 1

draw a diagram, as usual. If the tower has height h and the wire is meets the ground at distance d,

h/d = sin 52
h/(d+32) = sin 21

eliminate d and you have

h/sin52 = h/sin21 - 32

now just solve for h