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.