Question

1. trig - finding angles due december 14 at 8:00 pm grade 82% identifying trig ratios (no diagram) using trig to find a side using trig to find a side using trig to find a side using trig to find angles trig word problems solve for angle solve for x. round to the nearest tenth of a degree, if necessary. answer attempt 1 out of 2

Explanation:

Step1: Identify trig - ratio

In right - triangle NOP, we know the hypotenuse NP = 9.3 and the adjacent side to angle x is NO = 7. We use the cosine ratio, which is $\cos(x)=\frac{\text{adjacent}}{\text{hypotenuse}}$. So, $\cos(x)=\frac{7}{9.3}$.

Step2: Solve for x

We take the inverse cosine of both sides: $x = \cos^{-1}(\frac{7}{9.3})$.
Calculating $\cos^{-1}(\frac{7}{9.3})\approx41.8^{\circ}$.

Answer:

$41.8$