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 38 m. find the height of the building. if necessary, round your answer to the nearest tenth.

For this case the first thing you should realize is that you have a rectangle triangle where you have two of the three sides.

Therefore, to solve the problem, you must find the third side using the

Pythagorean theorem.

We have then:

h ^ 2 + 32 ^ 2 = 38 ^ 2

We cleared h:

h = root (38 ^ 2 - 32 ^ 2)

h = 20.49390153

round to the nearest tenth

h = 20.5 m

Answer:

the height of the building is:

h = 20.5 m