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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 26 Page 704

Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to ∠ B.

12/5=2.40

Practice makes perfect

For the given right triangle, we want to write the ratio for the tangent of ∠ B. Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ B.

We see that the length of the hypotenuse is 26. The length of the side adjacent to ∠ B is 10 and the length of the side opposite to ∠ B is 24. With this information, we can find the desired ratio.

tanB=opposite/adjacent

opposite= 24, adjacent= 10

tanB=24/10

a/b=.a /2./.b /2.

tanB=12/5

Calculate quotient

tanB=2.40

Subchapter links

1 Geometric Mean p.703

2 The Pythagorean Theorem and Its Converse p.703

3 Special Right Triangles p.704

4 Trigonometry p.704

5 Angles of Elevation and Depression p.705

6 The Law of Sines and Law of Cosines p.705

7 Vectors p.706

8 Dilations p.706