Angles of elevation and depression practice quiz

Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite

measures 70°, how high is the kite above Brian’s head?

• 61 m

• 65 m

• 54 m

• 24 m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures

28°. Find the distance from the plane to the building. Give your answer to 1.d.p.

• 2556.1 m

• 2735.4 m

• 1684.36 m

• 8426.3 m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole

measures 53°. How tall is the flagpole? Give your answer to 1.d.p.

• 15.9 ft

• 17.3 ft

• 16.8 ft

• 12.5 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52⁰ . How high

off the ground is the kite? How far away is the man from the spot directly under the kite?

• Height of kite: 78 ft.; Ground distance from man to kite: 61.6 ft

• Height of kite: 54 ft.; Ground distance from man to kite: 73.4 ft

• Height of kite: 24 ft.; Ground distance from man to kite: 35.4 ft

• Height of kite: 65 ft.; Ground distance from man to kite: 61.6 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base

of the cliff is 34º. How far is the object from the base of the cliff? give your answer to 1.d.p

• 59.3 m

• 72.4 m

• 16.5 m

• 13.4 m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

An airplane takes off 200 feet in front of a 60 foot building. At what angle of elevation must the plane

take off in order to avoid crashing into the building? Assume that the airplane flies in a straight line and

the angle of elevation remains constant until the airplane flies over the building.

• The plane must climb at an angle greater than 16.7°

• The plane must climb at an angle less than 16.7°

• The plane must climb at an angle less than 15.3°

• The plane must climb at an angle equal to 15.8°

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in

order to reach the top of the wall?

• 68.2⁰

• 55.7⁰

• 48.6⁰

• 69.9⁰

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. Now Pat sights a second ship beyond

the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?

• 1944.2 m

• 1800 m

• 1643.5m

• 180.7 m

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest

tenth of a cm, how long is that leg?

• 36.5 cm

• 43.2 cm

• 64.5 m

• 86.5

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees
• 45 degrees
• 71 degrees
• 138 degrees 

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8