Angles of Elevation and Depression

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

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees

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CCSS.HSG.SRT.C.8

Juliane is standing 340 meters away 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

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CCSS.HSG.SRT.C.8

Mikey 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

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CCSS.HSG.SRT.C.8

When the angle of elevation of the sun is 78 degrees, a statue of Miguel 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

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CCSS.HSG.SRT.C.8

Camryn is stuck at the top of a Ferris wheel. Allison is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Allison to Camryn is 73^o, how far off the ground is Camryn?

• 118.2 ft

• 120.9 ft

• 124.3 ft

• 126.5 ft

Tags

CCSS.HSG.SRT.C.8

My dog, Bentley, is playing in the park and sees a tree 100 m away. Since he is the dog of a mathematics teacher, he knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?

• 32 m

• 47 m

• 15 m

• 42 m

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CCSS.HSG.SRT.C.8

An airplane takes off 600 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? 

• about .1 degree
• about 84 degrees
• about 6 degrees
• I love Math!

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CCSS.HSG.SRT.C.8

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Tags

CCSS.HSG.SRT.C.8