Right Triangles Applications

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 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 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.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.  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 

Tags

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 up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answer to the nearest foot.

• 4
• 3
• 5
• 2

Tags

CCSS.HSG.SRT.C.8

Two boats are due West of a lighthouse. The boats are 200 ft apart. If the angles of elevation are 20 degrees and 62 degrees, respectively, approximate the height of the lighthouse.

• 90 ft

• 80 ft

• 70 ft

• 100

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you are standing 30 ft away from a 22 foot tree, what is the angle of elevation from where you are standing to the top of the tree.

• 71.9 degrees

• 48.1 degrees

• 523.7 degrees

• 36.3 degrees

Tags

CCSS.HSG.SRT.C.8

A 12 ft ladder is leaning against a wall, making a 50 degree angle with the ground. If the ladder needs to reach one foot higher up the wall, by how many degrees do you need to increase the angle?

• 15.1 degrees

• 8.2 degrees

• 11.1 degrees

• 9.4 degrees

Tags

CCSS.HSG.SRT.C.8