Question

use the diagram shown to find the measure of the angle of the right triangle. the measure of the angle is \\( \circ \\). (type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Identify known values

Hypotenuse $c=20$ m, leg $b=16$ m

Step2: Apply Pythagorean theorem

$a^2 = c^2 - b^2$

Step3: Calculate squared values

$a^2 = 20^2 - 16^2 = 400 - 256 = 144$

Step4: Solve for unknown leg

$a = \sqrt{144}$

Answer:

12 m