Question

In triangle uvw, where angle w is 90°, uw = 36, wv = 77, and vu = 85, what ratio represents the sine of angle u?

Answer 1

The sine of angle u in triangle uvw is approximately 0.4235.

Step-by-step explanation:

To find the sine of angle u in triangle uvw, we can use the length of the sides uw, wv, and vu. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse (the longest side).

In this case, the side opposite angle u is uw and the hypotenuse is vu. Therefore, the sine of angle u can be calculated as:

sine(u) = uw / vu = 36 / 85 = 0.4235

So, the ratio that represents the sine of angle u is approximately 0.4235.