A vertical stick 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is

Question

Philoid · Accepted Answer

Given A vertical stick 20 m long casts a shadow 10 m long on the ground and a tower casts a shadow 50 m long on the ground.

We know that AAA similarity criterion states that in two triangles, if corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.

In ΔABC and ΔDEF,

∠A = ∠D = 90°, ∠C = ∠F

∴ ΔABC ~ ΔDEF

We know that if two triangles are similar then their sides are proportional.

∴ DE = 100 m