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Home > GC > Chapter 5 > Lesson 5.1.2 > Problem 5-16


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 .  

Refer to the Math Notes box in Lesson 5.1.2 if you need help writing an equation relating to a reference angle.
It will be helpful for all three parts of this problem.

  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.

    Follow the same steps as in parts (a) and (b).