8 5 the tangent ratio

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8-58-5

The Tangent RatioThe Tangent Ratio

Vocab ReviewVocab Review

HypotenuseLeg

Leg

The Tangent RatioThe Tangent Ratio

The tangent of angle X is:The tangent of angle X is:

The opposite leg over the adjacent legThe opposite leg over the adjacent leg

X Z

ExampleExample

The tangent of angle X is:The tangent of angle X is:

X Z

5tan

12X =

What does that mean?What does that mean?

5tan

12X =

Look at the table on page 311.Find the number closest to 0.4126 in the tangent columnWhat is the approximate angle?

tan 0.4126X =

22.5oX ≈

X Z

What else can we do?What else can we do?

Stay on page 311Stay on page 311

So what! You say?So what! You say?

tan 34 ?=o

tan 34 0.6745=o

How about this?How about this?

X Z

343

tan 3414

a=o

0.674514

9.4a ≈

tan 24tan 24°= ?°= ?

1.1. 0.40670.40672.2. 0.91350.91353.3. 0.44520.44524.4. 0.44630.4463

30292827262524232221

2019181716151413121110987654321

tan ___ = 2.9024tan ___ = 2.9024

2626°° 7171°° 4545°° 0.32560.3256

30292827262524232221

2019181716151413121110987654321

Solve for x.Solve for x.

23°

101.1. 4.64.62.2. 11.811.83.3. 2.12.14.4. 0.080.08

30292827262524232221

2019181716151413121110987654321

SPICSASPICSA

Page 308 2-22 evenPage 308 2-22 even

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