Question

use a calculator to find the measure of the missing angle. round to the nearest tenth.
the missing angle is degrees.

Explanation:

Step1: Identify adjacent/hypotenuse

For the missing angle, adjacent side = 56, hypotenuse = 70.

Step2: Use cosine definition

$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{56}{70} = 0.8$

Step3: Find inverse cosine

$\theta = \cos^{-1}(0.8)$

Step4: Calculate and round

Use calculator: $\cos^{-1}(0.8) \approx 36.9^\circ$

Answer:

36.9