Finding Angles of Right Triangles Using Trig

Finding Angles of Right Triangles Using Trig

by Coach Miller

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Multiple Choice

Which side is opposite of theta?

• z

• y

• x

• w

Multiple Choice

Which side is adjacent to theta?

• x

• y

• z

• p

Multiple Choice

From the perspective of angle $\theta$ , which trig ratio would correctly compare the 2 sides identified with stars?

• Sin

• Cos

• Tan

Multiple Choice

From the perspective of angle $\theta$ , which trig ratio would correctly compare the 2 sides identified with stars?

• Sin

• Cos

• Tan

Multiple Choice

• 27/36
• 27/45
• 45/36
• 45/27

Multiple Choice

Select the correct ratio for CosC

• 30/34

• 16/34

• 17/15

• 30/16

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

Which trig equation would you use to find the measure of the indicated angle (?)

• $$\tan\left(\theta\right)=\frac{5}{4}$$

• $$\sin\left(\theta\right)=\frac{4}{5}$$

• $$\cos\left(\theta\right)=\frac{5}{4}$$

• $$\cos\left(\theta\right)=\frac{4}{5}$$

​1. label sides

​2. figure out which trig ratio to use

​3. find the formula to use

​4. plug in & evaluate

​Example to work on back of foldable

​Write these equations in your foldable

Multiple Choice

Which of the following would you use to find the measure of an angle?

• Pythagorean theorem
• Sin, Cos, or Tan
• Sin^-1, Cos^-1, or Tan^-1
• Chord-Chord Product Theorem

Multiple Choice

What should be typed into a calculator (in degree mode) to solve for x?

• $$\sin\left(\frac{3}{7}\right)$$

• $$\sin^{-1}\left(\frac{3}{7}\right)$$

• $$7\sin^{-1}\left(3\right)$$

• $$\sin^{-1}\left(\frac{7}{3}\right)$$

Multiple Choice

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

• 32°
• 44°
• 61°
• 50°

Multiple Choice

Find the measure of the missing angle.

• 49^o
• 50^o
• 41^o
• 33^o

Multiple Choice

Solve for x.

• 25

• 65

• error

• .0074

Multiple Choice

Solve for x.

• 50

• 40

• 41

• 49

Multiple Choice

Find the missing side.

• 25.7

• 10.9

• 5.1

• 6.2

Multiple Choice

Solve for x.

• 50.7
• 50.1
• 60.7
• 61.0

Multiple Choice

Find the missing side.

• 13.3

• 31.3

• 14.4

• 7.5