Chapter 8: Right Triangles & Trigonometry 8.3 The Tangent Ratio

Tangent Ratio Activity In your group, pick an angle measure between 0 and 80 (by tens) Draw a right triangle, ABC, where angle A has that measure Measure the legs of your triangle ABC to the nearest millimeter

Tangent Ratio Activity Compute the ratio: leg opposite angle A leg adjacent to angle A

Compare the group ratios: Group #ABBCACRatio

Tangent tangent of A =length of leg opposite A length of leg adjacent A Abbreviated:tan A =opposite adjacent

Example 1 Write the tangent ratios for T and U.

Example 1a Write the tangent ratios for K and J. How is tan K related to tan J?

Example 2 Find the value of w to the nearest tenth:

Example 2a Find the value of w to the nearest tenth:

Example 2b Find the value of w to the nearest tenth:

Example 3 The lengths of the sides of ΔBHX are given. Find the measure of angle X to the nearest degree.

Example 3a Find the measure of angle Y to the nearest degree: