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The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet. What is the length of the round in feet?

The diagram represents a ramp in the shape of a right triangle and the lengths of-example-1

1 Answer

3 votes

Answer:

61 feet

Explanation:

The length of the ramp is the hypotenuse of the right triangle formed.

To find the hypotenuse, use the Pythagorean Theorem:


\begin{gathered} Hypotenuse^2=Base^2+Altitude^2 \\ x^2=60^2+11^2 \end{gathered}

Take the square root of both sides:


\begin{gathered} x=โˆš(60^2+11^2) \\ x=โˆš(3721) \\ x=61\text{ ft} \end{gathered}

The length of the ramp is 61 feet.

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