1. Right Triangles and Trigonometry
Chapter 10
Right Triangles and Trigonometry

2. Section 4 Tangent Ratio

5. Example 1: Find Tangent Ratio Find tan S and tan R as fractions in simplified form and as decimals rounded to four decimal places.

6. Example 2: Use a Calculator for Tangent Approximate tan 74° to four decimal places.

7. Checkpoint: Find Tangent Ratio Find tan S and tan R as fractions in simplified form and as decimals. Round to four decimal places if necessary. Use a calculator to approximate the value to four decimal places. 3) tan 35° 4) tan 85° 5) tan 10°

8. Example 3: Find Leg Length Use a tangent ratio to find the value of x
Example 3: Find Leg Length Use a tangent ratio to find the value of x. Round your answer to the nearest tenth.

10. Example 4: Find Leg Length Use two different tangent ratios to find the value of x to the nearest tenth.

11. Example 5: Estimate Height You stand 45 feet from the base of a tree and look up at the top of the tree as shown in the diagram. Use a tangent ratio to estimate the height of the tree to the nearest foot.

12. Checkpoint: Find Side Length Write two equations you can use to find the value of x.

13. Checkpoint: Find Side Length (continued) Find the value of x
Checkpoint: Find Side Length (continued) Find the value of x. Round your answer to the nearest tenth.

14. EXIT SLIP