Question

unit e: trigonometry and slope
c. we know

Explanation:

Step1: Recall cosine formula

In a right - triangle, $\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, the adjacent side to angle $x$ is $15.9$ cm and the hypotenuse is $24.4$ cm. So, $\cos x=\frac{15.9}{24.4}$.

Step2: Calculate the value of $x$

We know that $x = \cos^{-1}(\frac{15.9}{24.4})$. First, calculate $\frac{15.9}{24.4}\approx0.6516$. Then, $x=\cos^{-1}(0.6516)$. Using a calculator, $x\approx49.3^{\circ}$.

Answer:

$x\approx49.3^{\circ}$