Trigonometry Word Problems

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.6

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.6

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.HSG.SRT.C.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.HSG.SRT.C.8

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the horizontal length of the ramp to the nearest tenth of an inch.

• 4.1 inches

• 3.9 inches

• 22.7 inches

• 0.7 inches

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?

• 4289.0 ft

• 932.6 ft

• 845.2 ft

• 4732.4 ft

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.C.8

Solve for the missing distance.

• 18.9
• 19.5
• 47
• 27.5

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11