Question

a man observes the top of a building 52m high situated in front of him and finds the angle of elevation to be 30degree . if the distance between man and building is 86m find height of the men

Answer 1

let the man's height be x

tan 30 = 52- x / 86

1/√3 = 52-x÷ 86

86/√3 = 52- x

x = 52 - 86/√3

x = 52 - 86/√3 × √3/√3

x = 52- 86√3/ 3

x = 156 - 86√3/3