Question

which of the following is closest to the value of x in the figure below? 8 of 11 questio 28.0 33.7 56.3 29.1

Explanation:

Step1: Use the cosine law

Let the hypotenuse be \(c = 18\), the adjacent side to \(x\) be \(b = 10\). The cosine formula is \(\cos x=\frac{b}{c}\).

Step2: Calculate \(\cos x\)

Substitute \(b = 10\) and \(c = 18\) into the formula: \(\cos x=\frac{10}{18}\approx0.5556\).

Step3: Find \(x\)

\(x=\arccos(0.5556)\approx56.3^{\circ}\) (using a calculator).

Answer:

56.3