Question

tamika builds a wooden skateboard ramp. the ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown. in centimeters, what is the approximate height of the ramp? round the answer to the nearest tenth of a centimeter.

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem states that for a right - triangle \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of the right - triangle. In this case, \(c = 63\) (the length of the ramp, hypotenuse) and \(a=60\) (the base of the right - triangle), and \(b = h\) (the height we want to find). So, \(h^{2}+60^{2}=63^{2}\).

Step2: Rearrange the formula to solve for \(h\)

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Step3: Calculate the square root

\(h=\sqrt{369}\approx19.2\) (rounded to the nearest tenth)

Answer:

\(19.2\)