Trig Word Problems Practice

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

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

• 63.6 ft
• 1.59 ft
• 74.2 ft
• 86.9 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft
• 11.3 ft
• 22.3 ft
• 49.1 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the height of the tree. Assume the angle looking up to the tree is 38^o.

• 12.5 ft
• 11.9 ft
• 6.88 ft
• 17.5 ft

Tags

CCSS.HSG.SRT.C.6

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.6

CCSS.HSG.SRT.C.8

Which trigonometric function would you use to find "h", the height of the tree?

• sine

• cosine

• tangent

• none of these

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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