Question

use a trigonometric ratio to solve for b. round to two decimal places as necessary. show your work here b = use a trigonometric ratio to solve for z. round to two - decimal places as necessary.

Explanation:

Step1: Identify the trigonometric ratio

We know that $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 64^{\circ}$, the adjacent - side to the angle $64^{\circ}$ is 29 and the hypotenuse is $b$. So, $\cos64^{\circ}=\frac{29}{b}$.

Step2: Solve for $b$

We can re - arrange the equation $\cos64^{\circ}=\frac{29}{b}$ to get $b=\frac{29}{\cos64^{\circ}}$.
Since $\cos64^{\circ}\approx0.4384$, then $b=\frac{29}{0.4384}\approx66.14$.

Answer:

$66.14$