Question

for the right triangle below, find the measure of the angle. round to the hundredths. (2 decimal places)
?
10
5
degrees

Explanation:

Step1: Identify trigonometric ratio

We have the adjacent side $\text{adjacent}=5$ and hypotenuse $\text{hypotenuse}=10$ relative to the unknown angle. Use cosine:
$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute values

$\cos(\theta) = \frac{5}{10} = 0.5$

Step3: Solve for $\theta$

Use inverse cosine:
$\theta = \cos^{-1}(0.5)$

Step4: Calculate and round

Compute the angle and round to two decimals:
$\theta \approx 60.00$

Answer:

60.00 degrees