Trigonometry Word Problems

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

Tags

CCSS.HSG.SRT.C.8

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 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.8.G.B.8

The bottom of a 13-foot straight ladder is set into the ground 5 feet 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 feet

• 13.9 feet

Tags

CCSS.8.G.B.8

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What is the angle of elevation? Round to the nearest degree.

• 19 degrees

• 20 degrees

• 28 degrees

• 35 degrees

Tags

CCSS.HSG.SRT.C.8

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?

Tags

CCSS.HSG.SRT.C.8

Solve for the missing angle.

• 50

• 0.053

• 36.9

• 95

Tags

CCSS.HSG.SRT.C.8

A yacht is anchored 90 feet 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 100 feet.  Which of these is closest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8