Compare your answers


  1. The ratios for angles 35° and 50° have been left blank. Draw a right triangle with an acute angle of 35°, and measure the opposite and adjacent side lengths. Use these lengths to calculate the ratio for 35°. Repeat this process for 50°. Complete the table on the previous page.

    The ratio for 35° is approximately 0.70 and the ratio for 50° is approximately 1.19.

  2. Use the table on the previous page to state a ratio of sides for each of the following triangles. Explain what each ratio represents.



    1. The value produced when the length of the side opposite 25° is divided by the length of the side adjacent to 25° is 0.47.



    2. The value produced when the length of side b is divided by the length of side a is 2.14.



  3. Use the table on the previous page to determine the values of the variables.












  4. Use the table on the previous page to determine the unknown variable, to the nearest tenth, in the triangle shown.



    Look for the ratio that corresponds to 20° in the table.