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.8

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

Tags

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.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 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

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

• 480.1 ft

• 5404 ft

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

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

A pilot looks down and sees the runway at an angle of depression of 10°.  If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

• 1410.6
• 1389.2
• 5671.3
• 7878.5

Tags

CCSS.HSG.SRT.C.8

Sally the squirrel is looking at a tree that is 100 feet away. If the angle of elevation between Sally and the top of the tree is 23, how tall is the tree?

• 42.4474 ft
• 235.5852 ft
• 0.0042 ft
• 39.0731 ft

Tags

CCSS.HSG.SRT.C.8