The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.

26.3 m

Step-by-step explanation:

The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the height of the building.

We solve the above question using Pythagoras theorem

c² = a² + b²

Where

c = Longest part of the triangle = 37 m

a = Height of the triangle = ?

b = Length of the shadow = 26 m

Hence:

37² = a² + 26²

a² = 37² - 26²

a = √37² - 26²

a = √(693)

a = 26.324893162m

Approximately = 26.3 m