Trig Ratios #3 Applications

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 nearest to the height of the lighthouse? 

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

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 ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the 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

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6
• 6.0
• 14.8
• 13.6

Tags

CCSS.HSG.SRT.C.8

Solve for the walkway length

• 30
• 40
• 58
• 35

Tags

TEKS.MATH.8.7D

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8

Solve for the misssing distance

• 18.9 meters
• 19.5 meters
• 47.2 meters
• 27.5 meters

Tags

CCSS.HSG.SRT.C.8

Solve for the missing angle

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees

Tags

CCSS.HSG.SRT.C.8

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in
• 12.4 in
• 13.6 in 
• 14.3 in

Tags

CCSS.8.G.B.8