Question

PLEASE HELP!!!

The length of a shadow of a building is 32 m. The distance from the top of the building to the tip of the shadow is 37 m. Find the
height of the building. If necessary, round your answer to the nearest tenth.

Answer 1

the height of the building is 18.6 m

Explanation:

using the Pythagorean theorem

a^2+b^2=C^2

a and b are the shorter legs while c is the hypotenuse

a=32, b=?, c=37

32^2+b^2=37^2

square the known numbers ( a and c)

1024+b^2=1369

subtract 1024 from both sides

b^2=345

square root both sides to cancel the square on b

b=18.5741756

Round if needed b=18.6m