Answer:
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.
