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Two window washers, ian and caleb , lean a ladder against the side of a building so that Ian can wash a window while Caleb holds the ladder. The top of the ladder reaches the window, which is 15 feet off the ground. the base of the ladder is 8 feet away from the building. How long is the ladder?
A. 18 feet
B. 16 feet
C. 17 feet
D. 15 feet

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wegnerkolmp2741o

Answer:

C. 17 feet

Step-by-step explanation:

This problem allows us to use the Pythagorean theorem to solve.  We are give both legs or a right triangle.  One leg is the height of the window =15ft and the other is the distance away from the building = 8ft.  We are trying to find the length of the ladder, which will be the hypotenuse.

a^2 +b^2 =c^2  where a and b are the lengths of the legs and c is the hypotenuse

8^2+15^2 = c^2

64+225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

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