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?

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Answer 1 · 2016-10-24T07:03:29

Use the Theorem of Pythagoras

#h = 24.6 m#

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 !