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Home > PC > Chapter 1 > Lesson 1.1.2 > Problem 1-30

1-30.

Solve for in each triangle below. 

  1. Right triangle labeled as follows: horizontal leg, x, hypotenuse, 18, angle opposite vertical leg, 26 degrees.

    Label the marked sides as opposite, adjacent, or hypotenuse.

    Write an equation involving the trigonometric ratio that corresponds to the given sides and angle.

    Solve for . (Use your calculator.)

  1. Right triangle labeled as follows: short leg, 8, hypotenuse, x, angle opposite long leg, 70 degrees.

    Follow the same steps in part (a).

  1. Right triangle labeled as follows: horizontal leg, 10, vertical leg, x, hypotenuse, 22.

    What famous mathematician's theorem can help you with this problem?

    Pythagorean Theorem

  1. Right triangle labeled as follows: short leg, c, hypotenuse, 12, angle opposite short leg, 41 degrees.

    Follow the same steps in part (a). Note that this time is the opposite side instead of the adjacent side.

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