1. GEOMETRY: Chapter 9
9.5 Trigonometric Ratios

2. Tangent Ratio
Image taken from: Geometry. McDougal Littell: Boston, P. 466.

3. Complementary Angles
In the right triangle, angle A and angle B are complementary so you can use the same diagram to find the tangent of angle A and the tangent of angle B. Notice that the leg adjacent to angle A is the leg opposite angle B and the leg opposite angle A is the leg adjacent to angle B.
Image taken from: Geometry. McDougal Littell: Boston, P. 467.

4. Ex. 1: Find tan D and tan F. Write each answer as a fraction and as a decimal rounded to four places.
Images taken from: Geometry. McDougal Littell: Boston, P. 458.

5. Ex. 2: Find the value of x. Answer: 29.4
Images taken from: Geometry. McDougal Littell: Boston, P. 467.

6. Ex. 3: Find the height of the flagpole to the nearest foot.
Answer: 51 ft
Images taken from: Geometry. McDougal Littell: Boston, P. 468.

7. Special Right Triangles
You can find the tangent of an acute angle measuring 300, 450, or 600 by applying what you know about special right triangles.

8. Ex. 4
Use a special right triangle to find the tangent of a 450 angle.
Answer: tan 450=1