Question

step three: complete the same processes as practiced in steps one and two. then, set up your equation to solve for the missing side length.
9)
10)

Explanation:

Problem 9

Step1: Identify sides relative to 58°

Adjacent = 15, Hypotenuse = $x$

Step2: Use cosine ratio

$\cos(58^\circ) = \frac{15}{x}$

Step3: Rearrange to solve for $x$

$x = \frac{15}{\cos(58^\circ)}$

Step4: Calculate the value

$\cos(58^\circ) \approx 0.5299$, so $x \approx \frac{15}{0.5299} \approx 28.3$

Problem 10

Step1: Identify sides relative to 49°

Adjacent = $x$, Hypotenuse = 20

Step2: Use cosine ratio

$\cos(49^\circ) = \frac{x}{20}$

Step3: Rearrange to solve for $x$

$x = 20 \times \cos(49^\circ)$

Step4: Calculate the value

$\cos(49^\circ) \approx 0.6561$, so $x \approx 20 \times 0.6561 = 13.1$

Answer:

1. $x \approx 28.3$
2. $x \approx 13.1$