solve for x.\n12 cm\n62°\nx = ? cm\nround to the nearest hundredth.

Explanation:

Step1: Use cosine function

$\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, here $\theta = 62^{\circ}$, adjacent side is $x$ and hypotenuse is $12$. So $\cos62^{\circ}=\frac{x}{12}$.

Step2: Solve for $x$

$x = 12\times\cos62^{\circ}$. Since $\cos62^{\circ}\approx0.4695$, then $x=12\times0.4695 = 5.634$.

Step3: Round to nearest hundredth

Rounding $5.634$ to the nearest hundredth gives $5.63$.

Answer:

$5.63$