A right triangle is shown with an angle that measures 24 degrees. The leg adjacent to the 24 degree
angle is 11. The hypotenuse is x.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
To find the value of x, we can use the trigonometric ratio cosine since we have the adjacent leg and the hypotenuse:
cos(24 degrees) = adjacent/hypotenuse
cos(24 degrees) = 11/x
To solve for x, we can rearrange the equation:
x = 11/cos(24 degrees)
x = 11/0.9135
x ≈ 12
Therefore, the value of x, rounded to the nearest tenth, is 12.