Trig word problems

Authored by Jason Rogers

Mathematics

9th - 11th Grade

CCSS covered

Used 12+ times

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12 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

73.30

5.71

17.46

21.84

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 closest to the height of the lighthouse?

25 feet

45 feet

110 feet

135 feet

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 ground?

7.5 ft

15 ft

26 ft

17 ft

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Trig word problems

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

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)?

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.

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.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

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 closest to the height of the lighthouse?

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 ground?

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

What trigonometric ratio would be used to find the horizontal distance from the ship to the plane?

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?

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Trig word problems

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

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 25o. What is the length of the Spencer’s run (his trip down the hill)?

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.

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.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

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 closest to the height of the lighthouse?

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 ground?

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

What trigonometric ratio would be used to find the horizontal distance from the ship to the plane?

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?

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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)?