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

Hypotenuse

Opposite

Adjacent

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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.

(a)  

Tags

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

Tags

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.

• OPPOSITE

• 40

• HYPOTENUSE

• 50

• ADJACENT

• 30

Tags

CCSS.HSG.SRT.C.6

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

(a)  

Tags

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

Tags

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

Tags

CCSS.HSG.SRT.C.8

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

• 7

• 24

• 25

Tags

CCSS.HSG.SRT.C.6