HW 8.5 Trig Applications (2024)

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.  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 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 building 62 feet tall casts a shadow 21 feet long.  At what angle is the sun shining down on the building?

• 19.80
• 18.71
• 70.20
• 71.29

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

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

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

Tags

CCSS.HSG.SRT.C.8

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Tags

CCSS.HSG.SRT.C.8

A ramp is being built next to a 4-inch high sidewalk. The ramp's angle of elevation 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.8

Which ratio represents the cos(θ)?

• x/y

• x/z

• y/x

• y/z

Tags

CCSS.HSG.SRT.C.6

Find the value of x.

• 6.2°

• 83.8°

• 43.3°

• 62.7°

Tags

CCSS.HSG.SRT.C.8