Question

Which equation could be used to solve for the length of XY?

A:XY = (22)sin(41°)
B:XY = (22)cos(41°)
C:XY = 22/cos(41°)
D:XY = 22/sin(41°)

Answer 1

We are looking for the hypotenuse in this right triangle. The reference angle is 41 degrees. We have that angle and the side that is opposite that angle, 22, so the trig identity that we will use that relates the side opposite to the hypotenuse is sin. Our ratio would be set up like this:
`sin(41)= (22)/(xy)`. Solving for xy we will have
`xy= (22)/(sin(41))`, choice D from above.