Question

1. 15° 61.8 16

Explanation:

Step1: Use the Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 16\), \(b=61.8\), and \(c=x\).

Step2: Substitute the values into the formula

\(x=\sqrt{16^{2}+61.8^{2}}\)
First, calculate \(16^{2}=256\) and \(61.8^{2}=3819.24\).
Then \(16^{2}+61.8^{2}=256 + 3819.24=4075.24\).

Step3: Calculate the square root

\(x=\sqrt{4075.24}\approx63.8\)

Answer:

\(x\approx63.8\)