Question

Determine the length of XY to the nearest tenth of the centimeter.

Answer 1

You can use trigonometry to solve this one. Which one deals with the opposite side and the hypotenuse?

Answer 2

yes but can you show me step by step the process

Answer 3

Okay, so we know that we're dealing with an angle (a), we're given the hypotenuse (y), and we're trying to find the opposite side (x).

We know that sin a = opposite / hypotenuse = x / y.

Now we just have to plug in the values:
sin 61 = x / 17.4
and solve for x using a calculator.