Question

for the right triangle below, find the measure of the angle. round to the hundredths. (2 decimal places)degreesquestion help: worked example 1

Explanation:

Step1: Identify trigonometric ratio

The side adjacent to the unknown angle is 5, and the hypotenuse is 10. Use cosine: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$
$\cos(\theta) = \frac{5}{10} = 0.5$

Step2: Calculate inverse cosine

Find $\theta$ using arccosine: $\theta = \cos^{-1}(0.5)$
$\theta = 60.00^\circ$ (rounded to 2 decimals)

Answer:

60.00 degrees