Question

find xz.
write your answer as an integer or as a decimal rounded to the nearest tenth.
xz =

Explanation:

Step1: Use the cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 35^{\circ}$, the adjacent side to the $35^{\circ}$ angle is $XZ$, and the hypotenuse $YZ = 7$. So, $\cos(35^{\circ})=\frac{XZ}{7}$.

Step2: Solve for $XZ$

Rearrange the formula to get $XZ = 7\times\cos(35^{\circ})$. Using a calculator, $\cos(35^{\circ})\approx0.8192$. Then $XZ=7\times0.8192 = 5.7344\approx5.7$.

Answer:

$5.7$