Given that the angle of the right triangle is 24 degrees, the leg adjacent to this angle is 11, and we need to find the hypotenuse, which is denoted by x.
Using trigonometric ratios, we can use the cosine function to find the value of x:
cos(24°) = adjacent / hypotenuse
cos(24°) = 11 / x
To find x, solve for x:
x = 11 / cos(24°)
x ≈ 11 / cos(24°)
x ≈ 11 / 0.9135
x ≈ 12.02
Therefore, the value of x, rounded to the nearest tenth, is approximately 12.0.
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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
1 answer