Warm-up: Get everything out of your folders!

1. Warm-up: Get everything out of your folders!

2. 7.5 Apply the Tangent Ratio Use the tangent ratio for indirect measurement.

3. Tangent Ratio • A trigonometric ratio is a ratio of the lengths of two sides in a right triangle. • You will use the trigonometric ratio to find the measurement of a side or an acute angle in a right triangle • The ratio of the lengths of the legs in a right triangle is constant for a given angle measurement. The ratio is called the tangent of the angle.

4. Tangent Ratio

5. Complementary Angles • In a right triangle, <A and <B are complementary so you can use the same diagram to find the tangent of <A and the tangent of <B.

6. Example 1 Find the tan D and tan F. tan D = ________ tan F = _________

7. Example 2: Find the value of x.

8. Example 3: Find the height of the flagpole to the nearest foot.

9. Example 5: Use special right triangles to find the tangent of a 60o angle. 60o 2 1 30o

10. Guided Practice: find the value of x. 1. 2. 3.

11.  Homework  • Pg. 469 (3, 6, 8, 10, 11, 14, 17, 19, 22, 25)