Question

solve for x.

Explanation:

Step1: Use cosine function

We know that $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here $\theta = 63^{\circ}$ and the adjacent side to the $63^{\circ}$ angle is 23, and the hypotenuse is $x$. So $\cos63^{\circ}=\frac{23}{x}$.

Step2: Solve for $x$

Since $\cos63^{\circ}\approx0.454$, we can rewrite the equation as $0.454=\frac{23}{x}$. Cross - multiplying gives $0.454x = 23$. Then $x=\frac{23}{0.454}\approx50.7$.

Answer:

$50.7$