8 5 The Tangent Ratio

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The document discusses the tangent ratio and how to use a reference table to find the tangent of an angle. It provides examples of calculating the tangent of various angles given side lengths of a right triangle. It also shows how to use the tangent ratio to solve for an unknown angle measure.

8-5 The Tangent Ratio

Vocab Review Hypotenuse Leg Leg

The Tangent Ratio ,[object Object],[object Object],X Z Y

Example ,[object Object],X Z Y 5 12 13

What does that mean? Look at the table on page 311. Find the number closest to 0.4126 in the tangent column What is the approximate angle? X Z Y 5 12 13

What else can we do? ,[object Object],[object Object]

How about this? X Z Y a 14 34 ͦ

tan 24 °= ? ,[object Object],[object Object],[object Object],[object Object],30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 10

tan ___ = 2.9024 ,[object Object],[object Object],[object Object],[object Object],10 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Solve for x. ,[object Object],[object Object],[object Object],[object Object],X 5 23 ° 10 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

SPICSA ,[object Object]

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8 5 The Tangent Ratio

1. 8-5 The Tangent Ratio

2. Vocab Review Hypotenuse Leg Leg

3.

4.

5. What does that mean? Look at the table on page 311. Find the number closest to 0.4126 in the tangent column What is the approximate angle? X Z Y 5 12 13

6.

7. How about this? X Z Y a 14 34 ͦ

8.

9.

10.

11.