Basics of Trigonometry

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

• 31.5 feet

• 24.6 feet

• 51.2 feet

• 57.4 feet

Which scenario describes the picture shown?

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

• A 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?

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

Solve for the missing angle.

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73^o, how far off the ground is Dustin? 

• 118.2 ft

• 120.9 ft

• 124.3 ft

• 126.5 ft

Tags

CCSS.HSG.SRT.C.8

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Give the value of x

• x = 7

• x = 14

Give the value of x

• x = 44

• x = 11

I have been given the long leg in this 30-60-90 triangle.  How do I find the hypotenuse?

• Divide 8 by √3

• Divide 8 by 2

• Divide 8 by 2, then multiply that answer by √2

• Divide 8 by √3, then multiply that answer by 2

How long is e?

• 3
• 6
• 6√3
• 6√2

• 10.1
• 10.0
• 10.9
• 8.86