Question

9m
4m
find x

Explanation:

Step1: Use cosine definition

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\).

Step2: Substitute values

Here, adjacent side \( = 4\)m and hypotenuse \(=9\)m. So, \(\cos x=\frac{4}{9}\).

Step3: Find \(x\)

\(x = \cos^{-1}(\frac{4}{9})\)
Using a calculator, \(x\approx63.61^{\circ}\)

Answer:

\(x\approx63.61^{\circ}\)