Right Triangles and Trigonometry Chapter 10 Right Triangles and Trigonometry

Section 4 Tangent Ratio

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

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

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°

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.

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

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.

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

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.

EXIT SLIP