A 34-m tall building casts a shadow the top is 35 m find length of shadow

Length of the shadow is 11.8 meters

Step-by-step explanation:

AB is a 34 meter tall building casting a shadow BC.

Let the measure of BC = x meters

It is given that the distance between A and C is 36 meters.

To find the length of BC we will apply Pythagoras theorem in the triangle.

AB² + BC² = AC²

(34) ² + x² = (36) ²

1156 + x² = 1296

x² = 1296 - 1156

x² = 140

x = √140

x = 11.832 meters

≈ 11.8 meters

Therefore, length of the shadow will be 11.8 meters.