Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. right triangle with side length 49 and degrees 90, 29, and 61. Find the hypotenuse length.
To find the length of the hypotenuse of the right triangle, we can use the trigonometric ratios.
We know that the sine of angle 61 degrees is opposite/hypotenuse and the cosine of angle 61 degrees is adjacent/hypotenuse.
Using the sine of 61 degrees:
sin(61) = 49/x
x = 49/sin(61)
x ≈ 56.1
Therefore, the length of the hypotenuse is approximately 56.1.