Question

show what you know
kal is building a skateboard ramp. the base of the ramp is 7 feet long, and the ramp itself is 25
feet long. how tall is the ramp at its highest point?
20 ft
18 ft
24 ft
26 ft

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (length of the ramp, \(c = 25\) ft) and \(a\) is the base (\(a=7\) ft), and \(b\) is the height (what we want to find). So, \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 7\) and \(c = 25\) into the formula: \(b^{2}=25^{2}-7^{2}\).

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Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{576}\), so \(b = 24\).

Answer:

24 ft