Angle of Elevation/Depression

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

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

Find the measure of the angle of elevation of the sun when a vertical post 15 feet tall casts a shadow 20 feet long.

• about 37 degrees

• about 49 degrees

• about 62 degrees

• about 41 degrees

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

Solve for x. 

• 70.0 feet
• 53.6 feet
• 37.8 feet
• 58.7 feet

Tags

CCSS.HSG.SRT.C.8

If the angle of depression from the top of the cliff down to the boat is 28° and the vertical distance from the water to the top of the cliff is 204 feet, what is the line of sight distance from the boat to the top of the cliff?  Draw it!

• 435 feet
• 96 feet
• 231 feet
• 384 feet

Tags

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.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.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.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