The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 38 m. How do you find the height of the building?

1 Answer
Oct 24, 2016

Use the Theorem of Pythagoras

h = 24.6 m

Explanation:

The theorem states that-

In a right-angle triangle, the square of the hypotenuse is the same as the sum of the squares of the other two sides.

c^2=a^2+b^2

In the question, a rough, right-angled triangle is portrayed.

so

38^2=29^2+h(height)^2

h^2=38^2-29^2

h^2=1444-841

h^2=603

h= sqrt603

h=24.55605832

h=24.6

hope that helped !