Question

challenge #1
reveals left:
let’s give the zapper 3000 an upgrade!
a. click two sides to reveal their length.
b. which ratio would you use to determine the missing angle?
opposite/hypotenuse adjacent/hypotenuse opposite/adjacent
c. use your right triangle ratio table to determine the missing angle measure and light up the zapper.
check my work
right triangle with hypotenuse 12.07, adjacent side 11.34, and angle θ at the adjacent-hypotenuse vertex

Explanation:

Step1: Identify sides relative to $\theta$

For angle $\theta$, adjacent side = $11.34$, hypotenuse = $12.07$.

Step2: Choose correct trigonometric ratio

We use $\cos\theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

Step3: Calculate $\cos\theta$ value

$\cos\theta=\frac{11.34}{12.07}\approx0.94$

Step4: Find $\theta$ using arccosine

$\theta=\arccos(0.94)\approx20^\circ$

Answer:

b. $\boldsymbol{\frac{\text{Adjacent}}{\text{Hypotenuse}}}$
c. $\boldsymbol{20^\circ}$