Question

1. solve for x. round to the nearest tenth.

x =

Explanation:

Step1: Use the cosine function

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(14\) and the hypotenuse is \(15\). So, \(\cos x=\frac{14}{15}\).

Step2: Solve for \(x\)

Take the inverse cosine of both sides: \(x = \cos^{-1}(\frac{14}{15})\). Using a calculator, \(\cos^{-1}(\frac{14}{15})\approx25.8^{\circ}\)

Answer:

\(25.8\)