Trig Missing Sides

Trig Missing Sides

By Kacey Horne

Multiple Choice

What is the trick to remember trigonometric ratios?

• Sah Coh Toa
• Soh Cah Toa
• Soh Cah Tao
• Soh Ceh Toa

Multiple Choice

Give the Ratio for Sin(x)

• opp/adj
• adj/hyp

• opp/hyp

• adj/opp

Multiple Choice

Give the Ratio for Tan(x)

• Adj/Opp
• Opp/Adj
• Adj/Hyp
• Opp/Hyp

Multiple Choice

Give the Ratio for Cos(x)

• Adj/Opp
• Opp/Adj
• Adj/Hyp
• Opp/Hyp

Use SOH CAH TOA to select the correct ratios of sine, cosine, and tangent.​

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We use these ratios in order to solve missing sides and angles in a right triangle​

​Trig Ratios

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Multiple Choice

Find the correct ratio for sin Z

• 24/32
• 32/24
• 32/40
• 24/40

Multiple Choice

Find the correct ratio for tan C

• 27/36
• 27/45
• 45/36
• 45/27

Multiple Choice

Select the correct ratio for Cos C

• 30/34

• 16/34

• 17/15

• 30/16

Use the image to the right to indicate how trig functions should be set up to solve for a missing side or angle.

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Setting up Trig Equations ​

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Multiple Choice

What equation can be used to solve for x?

• Sin(40°)= x/40 
• Sin(40º)=x/19
• Cos(40º)=x/19
• Tan(40°)=19/x

Multiple Choice

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

Multiple Choice

Which is the correct set up to solve for x?

• sin 72 = 6 / x
• cos 72 = 6 / x
• tan 72 = 6 / x
• cos 72 = x / 6

Multiple Choice

Choose the correct set-up to solve for x.

• $$\sin\left(37\right)=\frac{x}{14}$$

• $$\cos\left(37\right)=\frac{x}{14}$$

• $$\tan\left(37\right)=\frac{x}{14}$$

• $$\sin\left(37\right)=\frac{14}{x}$$

After you have the equation set up, decide on how to solve it!

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If x is on TOP, multiply!

If x is on BOTTON, divide!​

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​After setting it up, solve!

Multiple Choice

Using the equation already set up, solve for x. Round to the nearest tenth.

• 103.5
• 4.7
• 55.0
• 23.4

Multiple Choice

Using the equation already set up, solve for x. Round to the nearest tenth.

• 9.8
• 0.1
• 0.038
• 9.9

​You're turn!

Solve the following triangles from start to finish! You will have 5 min for the first 2 questions and then 3 min for the following 3 questions!

Multiple Choice

Find x round to the nearest tenth.

• 46.1
• 4.9
• 73.5
• 68.6

Multiple Choice

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9

Multiple Choice

Find the measurement of the missing side indicated

• 4.39
• 3.21
• 2.19
• 2.05

Multiple Choice

Find the measurement of the missing side indicated

• 4.98
• 5.98
• 3.20
• 4.18

Multiple Choice

Solve for x.

• 50.7
• 50.1
• 60.7
• 61.0