Question

A vertical pole of length 6m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28m long.find the height of the tower

Answer 1

164 meter

6meter=4meter shadow

Xmeter=28meter shadow

After substitution,

X+4/6=28

X+4=28*6

X+4=168

X=168-4

X=164

Answer 2

The shadow is 4m and height of pole is 6m so

Base = 4m

Perpendicular = 6m

Tan = P/B = 3/2

Let height of tower be x

3/2 = x/28

x =28 × 3 ÷ 2

x =42 m