Trig 2.4 Applications of Right Triangles

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

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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 

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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 nearest to the height of the lighthouse? 

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

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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 tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees
• 45 degrees
• 71 degrees
• 138 degrees 

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CCSS.HSG.SRT.C.8

What trigonometric ratio would be used to find the distance from the ship to the plane? **Yes, this is the rarity of finding the hypotenuse!

• sine
• cosine
• tangent
• inverse sine

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CCSS.HSG.SRT.C.8

A ladder 6 feet long leans against a wall and makes an angle of 71º with the ground.  Find to the nearest tenth of a foot how high up the wall the ladder will reach.

• 2.0 ft
• 3.5 ft
• 5.7 ft
• 6.0 ft

Tags

CCSS.HSG.SRT.C.8

A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far from the wall is the base of the ladder? Round your answers to the nearest whole number.

• 4
• 3
• 5
• 2

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CCSS.HSG.SRT.C.8

Which scenario describes the picture shown?

• A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
• A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?
• A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

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