Trig Word Problems

An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?

• 73.30
• 16.70
• 17.46
• 21.84

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

A golfer is standing at the tee, looking up the hill to the green. If the hole is 36 yards higher than the green and the angle of elevation from the tee to the hole is 12°, find the distance from the tee to the hole.

• 173.15 yards

• 7.48 yards

• 7.65 yards

• 169.37 yards

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

• 185.18 meters
• 523.55 meters
• 220.80 meters
• 624.27 meters

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 lighthouse is due east of a sailboat. The sailboat's dock is 30 km straight north of the lighthouse. The captain measures his viewing angle between the lighthouse and dock and find it to be 35 degrees. How far is the sailboat from the dock?

• 17.2 km

• 24.5 km

• 52.3 km

• 60 km

The labeled 12^o angle is a...

• angle of elevation
• angle of depression
• neither
• both

Tags

CCSS.HSG.SRT.C.8

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land.  What is the distance the plane will travel before it lands? 

• 4289 ft
• 932.6 ft
• 845.2 ft
• 4732.4 ft

Tags

CCSS.HSG.SRT.C.8

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

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