Unit 5, Quiz 1 Review

​Converting Degrees to Radians

Multiple Choice

To convert from degrees to RADIANS

• multiply by

  $$\frac{π}{180°}$$

• multiply by
  $$\frac{180°}{π}$$
  

• multiply by
  $$\frac{π}{\sqrt{2}}$$
  

• multiply by
  $$\frac{π}{\sqrt{3}}$$
  

Multiple Choice

What is  $$225\degree$$   in radians? 

• $$\frac{7\pi}{4}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{5\pi}{3}$$  

Multiple Choice

What is $$270\degree$$  in radians?

• $$\frac{\pi}{4}$$

• $$\frac{3\pi}{2}$$

• $$\frac{3\pi}{4}$$

• $$\frac{\pi}{2}$$

Multiple Choice

Convert $$510\degree$$ to Radians

• $$\frac{25\pi}{3}$$

• $$\frac{23\pi}{8}$$

• $$\frac{17\pi}{6}$$

• $$\frac{51\pi}{8}$$

Converting Radians to Degrees

Multiple Choice

To convert from radians to DEGREES

• multiply by

  $$\frac{π}{180°}$$

• multiply by
  $$\frac{180°}{π}$$
  

• multiply by
  $$\frac{π}{\sqrt{2}}$$
  

• multiply by
  $$\frac{π}{\sqrt{3}}$$
  

Multiple Choice

What is $$\frac{2\pi}{3}$$   radians in degrees? 

• $$150\degree$$  

• $$120\degree$$  

• $$180\degree$$  

• $$30\degree$$  

Multiple Choice

What is $$\frac{7\pi}{4}$$ in degrees?

• $$300\degree$$  

• $$135\degree$$  

• $$315\degree$$  

• $$45\degree$$  

Multiple Choice

$$\frac{8\pi}{3}$$  is equivalent to what degree measure?

• $$480\degree$$  

• $$240\degree$$  

• $$800\degree$$  

• $$24\degree$$  

There are 3 trigonometric ratios we can use for right triangles.

We use the acronym SOH CAH TOA to help us remember their definitions.

​

Trigonometric Ratios

Multiple Choice

Which trigonometric ratio is correct?

• $$\sin A=\frac{opposite}{adjacent}$$

• $$\cos A=\frac{opposite}{hypotenuse}$$

• $$\tan A=\frac{opposite}{adjacent}$$

• $$\sin A=\frac{adjacent}{hypotenuse}$$

We can use trigonometric ratios (SOH CAH TOA) to find the missing side lengths of right triangles.
1. Label the sides of the right triangle.
2. Write an equation for the right triangle using the two labeled sides and given angle.
3. Use reverse PEMDAS to solve the equation.

​

Finding Missing Sides of Right Triangles

Here's a video with more examples on how to find missing side lengths of right triangles.
You can also review your guided notes #2, before you answer the following questions.

​

Finding Missing Sides of Right Triangles

Multiple Choice

Find the length of the missing side x...

Round your answer to the nearest tenth.

• 3.8 cm

• 28.8 cm

• 3.9 cm

• 3.6 cm

Multiple Choice

Find the length of the missing side x...

Round your answer to the nearest tenth.

• 15.1 cm

• 15.2 cm

• 10.1 cm

• 10.2 cm

Math Response

Find the length of the missing side x...

Round your answer to the nearest tenth.

Type answer here

Correct Answer: 10.3

Deg^°

Rad

Multiple Choice

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. Round your answer to the nearest foot.

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Multiple Choice

From point P on the ground, the angle of elevation of an airplane is $$23\degree$$  . The altitude of the plane is 1200 meters. What is the distance from point P to the airplane?  Round your answer to the nearest tenth.

• 3071.2 m

• 2827.0 m

• 1303.6 m

• 468.9 m

Remember your quiz is tomorrow and will cover the first 3 sections of Unit 5.