Question

The length of a shadow of a building is 28m . The distance from the top of the building to the tip of the shadow is 38m. Find the height of the building

Answer 1

The height of the building is 2√165 (m)

Explanation:

You can imagine that the distance from the top of the building to the tip of the shadow is like hypotenuse, the length of a shadow of a building is like squared angle edge

Assume the height of the building is x

According to Pythagorean theorem:

28^2 + x^2 = 38^2

x^2 = 38^2 - 28^2

x = √(38^2 - 28^2)

x= 2√165 (m)