Respuesta :

Luv2Teach
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: [tex]sin(41)= \frac{22}{xy} [/tex].  Solving for xy we will have [tex]xy= \frac{22}{sin(41)} [/tex], choice D from above.

XY = 22 / sin 41°

The triangle is a right angle triangle. Therefore, trigonometric ratios can be applied to find XY.

sin 41° = opposite / hypotenuse

sin 41° = 22 / XY

cross multiply

XY sin 41° = 22

divide both sides by sin 41°

XY = 22 / sin 41°

read more: https://brainly.com/question/15860892?referrer=searchResults

Otras preguntas