Question

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.

Answer 1

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