Trig Word Problems

The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees.  The helicopter’s altitude is 1560 ft.  What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.

• 543 ft
• 1756 ft
• 4801 ft
• 5404 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.   Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 44 feet 
• 81 feet 
• 185 feet 

Tags

CCSS.HSG.SRT.C.8

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees
• 20 degrees
• 28 degrees
• 35 degrees

Tags

CCSS.HSG.SRT.C.8

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

Tags

CCSS.HSG.SRT.C.8

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
HINT: Assume this is a right triangle.

• 19.80
• 18.71
• 70.20
• 71.29

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.
HINT: Assume this is a right triangle.

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Tags

CCSS.HSG.SRT.C.8

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower.
HINT: Assume this is a right triangle.

• 18.01 m
• 29.89 m
• 13.38 m
• 22.21 m

Tags

CCSS.HSG.SRT.C.8

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?
HINT: This might not be a right triangle.

• 9285.73
• 96.36
• 24061.81
• 155.12

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A hawk sitting on a tree branch 15 feet high spots a mouse on the ground. 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

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25^o.  What is the length of the Spencer’s run (his trip down the hill)? 

• 3216.76 feet
• 633.93 feet
• 699.46 feet
• 3549.30

Tags

CCSS.HSG.SRT.C.8