CPM Homework Banner
2-9.

For each diagram below, write and solve an equation to calculate the value of the variable. If you need help, refer to the Math Notes box in this lesson. State your answer to part (d) in both approximate decimal form and radical form.

  1. Right triangle, labeled as follows: vertical leg, x, hypotenuse, 20, angle opposite vertical leg, 15 degrees.

    Same labeled triangle, with additional labels as follows: on 15 degrees, given angle, on, x, opposite side, On 20 m, hypotenuse.

    Use your calculator to compute . Does your answer seem reasonable? If not, verify that your calculator is in degree mode.

  1. Right triangle, labeled as follows: vertical leg, 5, horizontal leg, x, angle opposite vertical leg, 15 degrees.

    Follow the steps in part (a).

  1. Right triangle, labeled as follows: vertical leg, 10, hypotenuse, 11, angle opposite horizontal leg, theta.

    How can you "undo" cosine?

     

  1. Right triangle, labeled as follows: horizontal leg, 6, vertical leg, 12, hypotenuse, x.

    An angle is not marked, just three sides. What formula uses three sides of a right triangle?

    Pythagorean Theorem