The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between the top of his head and the top of his head in the shadow is feet.

Question

Mathematics

Gianna Floyd

7 May, 20:41

The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between the top of his head and the top of his head in the shadow is feet.

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Quintin Frye · Answer 1

It would be 10 ft.

You set up a right triangle with the base being 8 ft (the shadow), the height being 6 ft (his height) and you need the hypotenuse, a straight line from his actual head to his head in the shadow.

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

take the square root of both sides

10 = c