# 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?

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

${38}^{2} = {29}^{2} + h {\left(h e i g h t\right)}^{2}$

${h}^{2} = {38}^{2} - {29}^{2}$

${h}^{2} = 1444 - 841$

${h}^{2} = 603$

$h = \sqrt{603}$

$h = 24.55605832$

$h = 24.6$

hope that helped !