Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
b = feet

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(c = 9.8\), \(a = 8.5\), and \(b\) is the missing leg. So \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=9.8^{2}-8.5^{2}=96.04 - 72.25 = 23.79\)

Step3: Find \(b\)

\(b=\sqrt{23.79}\approx4.9\)

Answer:

\(4.9\)