Question

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 6th are 60° and 45° respectively.The distance of the base of the tower from the base of the building?

Answers

Steve
If the tower has height h and is at a distance x, then

h/x = tan 60°
(h-6th)/x = tan 45°

Eliminating h, we have

x/tan 60° = x tan 45° + 6th
x(1-1/√3) = 6th
x = 6th/(1-1/√3)

whatever 6th is supposed to mean.

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