Question

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangle is shown with one leg measuring 12, and the hypotenuse is labeled 13. An angle made with the leg measuring 12 and the hypotenuse is marked x degrees. Answer for Blank 1:

Answer 1

Answer: $x=22.62^{\circ}$

Step-by-step explanation:

Given

The hypotenuse is 13 units

One of the lengths is 12 units

The marked angle is x

from the figure, we can write

$\Rightarrow \cos x=\dfrac{12}{13}\\\\\Rightarrow x=\cos^{-1}[\dfrac{12}{13}]\\\\\Rightarrow x=22.62^{\circ}$