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For each triangle below, write an equation relating the reference angle (the given acute angle) with the two side lengths of the right triangle. Then solve your equation for .


  1. A right triangle with a hypotenuse of 17 and height of x. A 22 degrees angle is opposite, side, x.

  1. A right triangle with height of x and base of 7. The angle opposite the side of 7 is 49 degrees.

  1. A right triangle with base of x and hypotenuse of 6. The angle opposite the unknown side is 60 degrees.

  1. For part (c), use the complement of the reference angle to write a different equation. Solve for to confirm your answer for part (c).