Question

answers to the nearest tenth if necessary.
6)
15.8 yd
6.9 yd
x
73
made with infinite geometry.

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(a = 6.9\), \(c=15.8\), and \(b=x\). So, \(x^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(x^{2}=15.8^{2}-6.9^{2}\)
\(x^{2}=249.64 - 47.61\)
\(x^{2}=202.03\)

Step3: Solve for \(x\)

\(x=\sqrt{202.03}\approx14.2\)

Answer:

\(x\approx14.2\) yd