Trig Word Problems

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.6

CCSS.HSG.SRT.C.8

A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower 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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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.6

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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.6

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.6

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.6

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.6

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.

• 18.01 m

• 29.89 m

• 13.38 m

• 22.21 m

Tags

CCSS.HSG.SRT.C.6

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?

• 19.80

• 18.71

• 70.20

• 71.29

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8