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
