Right Triangle Trigonometry Problems

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?

• 19.80

• 18.71

• 70.20

• 71.29

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

• 10

• 25

• 175

• 625

To use the Pythagorean Theorem, we need...

• A triangle with 2 known angles

• A right triangle with 2 known angles

• A triangle with 2 known sides

• A right triangle with 2 known sides

The circus decides to use a different cable that is attached to the ground, 50 feet from the center pole (that is still 70 feet tall). Now what is the angle of elevation, rounded to the nearest degree?

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Choose the correct ratio.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x

What is the correct equation to solve for x?

• tan (45) = x/13

• cos (45) = x/13

• sin (45) = 13/x

• sin (45) = x/13

Choose the correct ratio.

• A

• B

• C

• D