Solve Real World Problems Using Trig Ratios

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

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

• 63

• 65

• 74

• 87

A yacht is anchored 90 offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100m. Which of these is closest to the height of the lighthouse?

• 25

• 45

• 110

• 135

A tourist views a deer from a height of 45m . The horizontal distance between the tourist and the deer is 130m. 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

Which equation could be used to find the measure of one acute angle in the right triangle at the right? 

• tanB = 14/9 
• cosA = 9/14
• tanB = 9/14
• sinA = 9/14

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

• 8

• 5.29

• 10

• 14

The bottom of a 13m straight ladder is set into the ground 5 m away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 m

• 13.9 m

A building 62 m 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 m on one side and 15 m 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