Angles of Elevation and Depression

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

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CCSS.HSG.SRT.C.8

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74^𝑜 with the level ground. How high on the wall does the ladder reach?

Which of the following is the correct diagram for the problem?

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Tags

CCSS.HSG.SRT.C.8

A 10m tall ladder is leaning against a wall. The angle of elevation between the ladder and the ground is 60 degrees. How high up the wall does the ladder touch?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

Tags

CCSS.HSG.SRT.C.8

A boat deploys its anchor at an angle of depression of 39 degrees. The anchor is 30m away from the boat. What is the vertical distance from the boat to the anchor?

• 18.9

• 19.5

• 47

• 27.5

Tags

CCSS.HSG.SRT.C.8

Ms. Lorenzet is looking up at an airplane flying by. The horizontal distance between Ms. Lorenzet and the airplane is 400ft and the vertical distance between the airplane and the ground is 300ft. At what angle of elevation is Ms. Lorenzet looking at?

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

Tags

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.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Tags

CCSS.HSG.SRT.C.8

• 26.6 feet

• 31.1 feet

• 38.6 feet

• 42.3 feet

Tags

CCSS.HSG.SRT.C.8

Lindsey and her brother are standing on a street in Nashville looking at the top of the Ryman with a 65 degree angle of elevation. They are 100 meters from the Ryman. How tall is the Ryman Auditorium?

• 46.6 meters

• 128.2 meters

• 214.5 meters

• 279.7 meters

Tags

CCSS.HSG.SRT.C.8