A 28-m tall building casts a shadow. The distance from the top of the building to the tip of th shadow is 32m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
To find the length of the shadow, we can create a right triangle with the building representing the height, the shadow representing the base, and the distance from the top of the building to the tip of the shadow representing the hypotenuse.
Using the Pythagorean theorem, we can solve for the length of the shadow:
(Length of shadow)^2 + 28^2 = 32^2
(Length of shadow)^2 + 784 = 1024
(Length of shadow)^2 = 240
Length of shadow = √240
Length of shadow ≈ 15.5m
Therefore, the length of the shadow is approximately 15.5 meters.