Finding Lengths and Sides Using Trig

Choose the correct ratio.

• cos(33)=x/14

• sin(33)=x/14

• cos(33)=14/x

• sin(33)=14/x

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CCSS.HSG.SRT.C.6

Solve for x.

• 50.7

• 50.1

• 60.7

• 61.0

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CCSS.HSG.SRT.C.8

Solve for x.

• 10

• 11.3

• 12.0

• 15.0

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CCSS.HSG.SRT.C.8

Find the length of the missing side x... Round your answer to 1 decimal place.

• 15.1 cm

• 15.2 cm

• 10.1 cm

• 10.2 cm

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CCSS.HSG.SRT.C.8

Mathematical Equivalence

ON

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CCSS.MATH.CONTENT.HSG.SRT.C.8

Find the length of side w.

• 21.4 cm

• 18.0 cm

• 36.5 cm

• 43.6 cm

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

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CCSS.HSG.SRT.C.6

What is the length of the side adjacent to ∠Z?

• 16

• 30

• 34

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CCSS.HSG.SRT.C.8

Find the length of side w.

• 21.4 cm

• 18.0 cm

• 36.5 cm

• 43.6 cm

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches 

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CCSS.HSG.SRT.C.8