Trig - Find Side Lengths and Angle Measures

Trig - Find Side Lengths and Angle Measures

By Andrew Schmitt

Solving Right Triangles

Pythagorean Theorem​

• When a problem involves only sides, use Pythagorean Theorem

Trigonometry

• When a problem involves both sides and angles, use SOH-CAH-TOA

Using trig to find side lengths.

Multiple Choice

Which equation should be used to find the missing side length?

• $$\cos\left(33\right)=\frac{x}{14}$$  

• $$\sin\ \left(33\right)=\frac{x}{14}$$  

• $$\tan\ \left(33\right)=\frac{x}{14}$$  

• $$\tan\left(33\right)=\frac{14}{x}$$  

• $$\cos\left(33\right)=\frac{14}{x}$$  

Multiple Choice

If you are trying to find the hypotenuse, then which equation should be used to find the missing side length?

• $$\tan\left(35\right)=\frac{x}{12}$$   

• $$\tan\left(35\right)=\frac{12}{x}$$  

• $$\sin\left(35\right)=\frac{12}{x}$$  

• $$\cos\left(35\right)=\frac{12}{x}$$  

• $$\cos\left(35\right)=\frac{x}{12}$$  

Multiple Choice

Find the length of x.

• 4.98
• 5.98
• 3.20
• 4.18
• 7.13

Multiple Choice

Find the length of x.

• 4.39
• 3.21
• 2.19
• 2.05
• 1.71

Multiple Choice

Find the length of x.

• 6.09

• 18.77

• 5.52

• 7.68

• 5.95

Using trig to find angle measures.

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4
• 37.6

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest degree.

• 32°
• 44°
• 61°
• 50°
• 46°

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest degree.

• 33°
• 49°
• 39°
• 41°
• 37°

Multiple Choice

Solve for the missing angle.

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees
• 53.1 degrees

Multiple Choice

Solve for m∠S. Round to the nearest degree.

• 21°

• 64°

• 23°

• 67°

• 58°