Angles of Elevations & Depression (Bearings)

A tree casts a 75 foot shadow. The angle of elevation from the ground to the top of the tree is 40 degrees. How tall is the tree?

• 62.9 ft

• 48.2 ft

• 57.5 ft

• none of the above

Tags

CCSS.HSG.SRT.C.8

Junior is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Junior's mom to Junior is 73^o, how far off the ground is Junior?

• 118.2 ft

• 120.9 ft

• 124.3 ft

• 126.5 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Taylor , who is 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

Kim is using a ladder to hang lights up on her house. She places the ladder 5 feet from the base of her house and leans it so it reaches a window 14 feet above the ground. Find the angle the ladder makes with the house.

• 19.7^o

• 70.3^o

• 69.1^o

• 20.9^o

Daud syantik built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What is the angle of elevation of the ramp to the nearest degree?

• 19^o

• 20^o

• 28^o

• 35^o

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

A man is cleaning the roof of his house. He figures that his 15ft ladder will be stable if it leans on the house at a 55 angle. How far should the ladder base be from the house?

• 12.287 ft

• 8.604 ft

• 10.235 ft

• 9.598 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

Tags

CCSS.HSG.SRT.C.8

After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

• 50^o

• 0.053^o

• 36.9^o

• 95^o

Erin Sopeah is at the top of a tower 20 m high, when she sees a ball on the ground. She has to turn her head 42° down to view the ball from the top of the tower. How far is the ball from the base of the tower?

• 18.01 m

• 29.89 m

• 13.38 m

• 22.21 m