Right Triangle and Trig Functions

What is the value of x?

• 2

• 18

• 2√9

• 9√2

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3

• 16√3

• 32

• 16√2

BONUS - Solve for x. 
You will need to use 45-45-90 and 30-60-90 triangles.

• 10√3

• 15

• 5√3

• 15√2

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the length of the other leg?

• 17.0 meters

• 24.2 meters

• 11.7 meters

• 14.3 meters

Choose the correct ratio.

• A

• B

• C

• D

Solve for the misssing distance

• 18.9

• 19.5

• 47

• 27.5

Which scenario describes the picture shown?

• 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?

• 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?

• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?

• 5 foot man is 8 feet away from a building.  What is the angle of elevation?

• 24/32
• 32/24
• 32/40
• 24/40

• 14/48
• 48/50
• 14/50
• 48/14