Trigonometry Word Problems

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Tags

CCSS.HSG.SRT.C.8

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 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.  Which of these is closest to the height of the lighthouse? 

• 25 feet
• 44 feet 

• 110 feet 
• 135 feet 

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

A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun? 

• 62 degrees
• 49 degrees
• 28 degrees
• 15 degrees

Tags

CCSS.HSG.SRT.C.8

You are standing 10 feet away from a tree. There is a cat up in the tree. There is a 48 degree angle of elevation to look up at the cat. How high is the cat? 

• 11.1 ft. 
• 9 ft. 
• 7.4 ft. 
• 13.8 ft. 

Tags

CCSS.HSG.SRT.C.8

Choose the correct ratio.

• $\sin\left(37\right)=\frac{x}{14}$

• $\cos(37)=\frac{x}{14}$

• $\tan(37)=\frac{x}{14}$
  

• $\sin(37)=\frac{14}{x}$
  

Tags

CCSS.HSG.SRT.C.6

Multi-step: What is the distance from the tree to the building, rounded to the nearest tenths place?

• 8.6 ft

• 18.6 ft

• 16.7 ft

• 10 ft

Tags

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.8