4.1.4 Review - The Tangent Ratio*

Based on the given angle, label the triangle's side lengths as opposite, adjacent and hypotenuse.

c

b

a

Opposite

Adjacent

Hypotenuse

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CCSS.HSG.SRT.C.6

Use your calculator and the Tangent Ratio to find the missing side length, x. Round your answer to one decimal place.

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CCSS.HSG.SRT.C.8

Use the Tangent Ratio or your Trig Toolkit to find the value of x in the diagram.

The value of x is (a)   .

• 21
• 33
• 12

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CCSS.HSG.SRT.C.8

Use <A as the angle of reference. What is the side adjacent to Angle A?

• 6

• 8

• 10

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CCSS.HSG.SRT.C.6

Use the Tangent Ratio or the Trig Toolkit to find the missing side length, y. Choose your answer from the dropdown menu below.

ANSWER: ​ (a)  

• y = 20
• y = 70
• y = 50

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CCSS.HSG.SRT.C.8

In the given triangle, θ is provided as the angle of reference. Use the triangle to put the side lengths in order: OPPOSITE, HYPOTENUSE, ADJACENT.

• HYPOTENUSE

• 50

• OPPOSITE

• 30

• ADJACENT

• 40

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CCSS.HSG.SRT.C.6

In the given triangle, find the missing angle measure, θ, using the Trig Toolkit. Type your numeric answer only.

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CCSS.HSG.SRT.C.8

Use the triangle, Triangle Angle Sum Theorem and Trig Toolkit to find the value of θ AND the value of x. Round your side length, x, to one decimal place.
(angle measure) = ​ (a)   degrees

x = ​ (b)  

• 60.9
• 45
• 35.6
• 99.2
• 75
• 35

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Tangent Ratio to find the missing side length, x. Round to one decimal place.

• 12.6

• 15.3

• 18.4

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CCSS.HSG.SRT.C.8

Use <C as the angle of reference. What is the value of the opposite side?

• 7

• 24

• 25

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CCSS.HSG.SRT.C.6