solve for x. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\nx =
solve for x. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\nx =
Answer
Explanation:
Step1: Identify trigonometric ratio
In right - triangle ABC with right - angle at B, we know the adjacent side to angle C ($BC = 9.9$) and we want to find the hypotenuse ($x=AC$). We use the cosine function. $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, so $\cos C=\frac{BC}{AC}$. $\cos(73^{\circ})=\frac{9.9}{x}$
Step2: Solve for x
Cross - multiply to get $x\cos(73^{\circ}) = 9.9$. Then $x=\frac{9.9}{\cos(73^{\circ})}$. We know that $\cos(73^{\circ})\approx0.2924$, so $x=\frac{9.9}{0.2924}\approx34.2$.
Answer:
$34.2$