Angle of elevation and depression

Dustin 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 Dustin's mom to Dustin is 73^o, how far off the ground is Dustin? 

• 118.2 ft
• 120.9 ft
• 124.3 ft
• 126.5 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A kite is on a 300-ft string. The angle of elevation from the ground to the kite is 39°. Which is the best estimate of the height of the kite above the ground? 

• 629 feet
• 243 feet
• 189 feet
• 233 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find to the nearest degree the measure of the angle of elevation of the sun when a woman 150 cm tall casts a shadow 43 cm long.

• 16°

• 17°

• 74°

• 71°

From a point 340 m from the base of Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the hetight of the dam to the nearest meter.

• 185 m

• 221 m

• 285 m

• 524 m

A sonar operator on a ship detects a submarine at a distance of 500 m and an angle of depression of 40°. How deep is the submarine to the nearest meter?

• 778 m

• 383 m

• 420 m

• 321 m

A slide has an angle of elevation of 25°. It is 60 feet from the end of the slide to the stairway beneath the top of the slide. About how long is the slide?

• 142 ft

• 28 ft

• 66 ft

• 25 ft

A park ranger is standing on the top of a 125 m hill looking down at a tree. She measures the angle of depression from where she is standing to the base of the tree as 34°. About how far away is the tree?

• 70 m

• 224 m

• 151 m

• 185 m

A building that is 75 feet tall casts a shadow that is 61 feet long. What is the angle of elevation that the sun makes with the ground?

• 51°

• 54°

• 36°

• 21°