Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
heheheha
x=12.04
set it up like this
Cos(24)11/x then switch x and cos because you want to find x
x=11/cos 24
x=12.04
oobleck how do i find x though?
This didn't answer the question
To solve this problem, we can use the trigonometric function cosine (cos) since we have the adjacent leg length and the angle.
1. Recall the definition of cosine: cos(theta) = adjacent/hypotenuse.
2. Substitute the known values into the cosine equation: cos(24 degrees) = 11/x.
3. To isolate x, multiply both sides of the equation by x: x * cos(24 degrees) = 11.
4. Divide both sides of the equation by cos(24 degrees) to solve for x: x = 11 / cos(24 degrees).
5. Now, use a calculator to find the cosine of 24 degrees: cos(24 degrees) ≈ 0.9135.
6. Substitute the value of cos(24 degrees) back into the equation and solve: x = 11 / 0.9135 ≈ 12.03.
Therefore, the value of x, rounded to the nearest tenth, is approximately 12.0.
well, you know that
11/x = cos24°
now find x
Really? Don't forget your Algebra I now that your taking trig!
11/x = cos24°
x/11 = 1/cos24°
x = 11/cos24°