Angle of Depression
Find the missing Angle
Find the Missing Side
Applications Part 1
Applications Part 2
100

From the top of a cliff 45m high the angle of depression to a yacht at sea is 15°. How far is the yacht from the base of the cliff?(Round to 3 Decimal places).

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167.942 Meters

100

Find theta with the given information. Adjacent = 12 Hypotenuse = 13

(1 decimal place)

What is 22.6 degrees?

100

Find the missing Side: Theta = 37 Adjacent = 11 Hypotenuse = ?

Round to 1 Decimal Place

13.8

100

A wire stretches from the top of a radio tower to a point (on flat ground) 18 feet from the base of the tower. The angle of elevation is 60 degrees, what is the height of the tower? (Round to 1 Decimal Place)

31.2 Feet

100

Find the height that a 20 foot ladder can reach on a building if the angle of elevation is 75 degrees. (Round to 2 decimal places)

19.32 ft.

200

A building casts a shadow 50 metres long. If the angle of depression from the top of the building to the end of the shadow is 35o, how tall is the building? (Round answer to 1 decimal place)

35 meters

200

Find theta: Adjacent =13 Opposite = 4


1 decimal place

What is 17.1 degrees?

200

Find the missing side: Theta = 32 Adjacent = 13 Opposite = x

Round to 1 Decimal Place

8.1

200

Marissa is standing away from the base of a building looking up with an angle of elevation of 48 degrees. If the height of the building is 83 feet, how far away from the base is Marissa?

(Round 1 Decimal)

74.7 feet

200

In triangle ABC, angle A is a right angle. If Cos C = 8/17, find Tan B=______ .

Tan B = 8/15
300

A plane is 1 km high. If the angle of depression to the landing strip is 28º, what is the direct flying distance to the airstrip? (Round to 2 decimals)

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2.13

300

Find Theta: Opposite = 11.9 Adjacent = 10


(Nearest whole number)

What is 50

300

Find the missing side: Adjacent = x Theta = 60 Hypotenuse = 11

Round to 1 Decimal Place

5.5

300

Hannah, Jennifer, Vivi, Citlalli, Astrid, and Lindsey are all at an apple farm picking apples off of a tree. Hannah bets them all that she can climb to the top and get the highest apple, which is 52 ft off the ground. If Astrid, Jennifer, Vivi, Citlalli, and Lindsey are 9 feet from the tree, what is the angle of elevation (theta) from the girls to Hannah in the tree?

80.2 degrees

300

Find the angle of elevation if the sun shines on a 7.6 meter flagpole casts an 18.2 meter shadow. (Round to 2 decimal places)


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22.66 degrees

400

An observer in a spotter airplane at an altitude of 400m spots a wreck in the ocean at an angle of depression of 42º. How far is the horizontal distance from the point below the plane to the wreck?

(Round to 2 decimals)

444.25 meters

400

Find Theta: Hypotenuse = 9 Adjacent = 6

1 decimal place

48.2 degrees

400

Find the missing side: Theta = 50.1 Adjacent = 5 Opposite = x

Keep answer exact

5 tan (50.1)
400

Chris, Grant, Erick, and Tam decide to have a Pokémon battle. Erick Summons Charizard who stands at 18 feet high, and Erick is looking up at Charizard with an angle of elevation of 27 degrees, how far away is Erick from his Pokémon?

Round to 1 Decimal

35.3 Feet

400

Find the angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards. (Round to 1 decimal place)

5.3 degrees

500

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?

(round to nearest whole number)

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59 meters

500

Find Theta: Opposite = 3 Adjacent = 3

(Nearest whole degree)

45 degrees

500

Find the missing side: Opposite = 4 hypotenuse= x Theta = 41

Keep answer exact

4 / sin (41)

500

Kobe, Carter, Emory, Jackson, Josh, and Cameron are all out playing golf. Carter smashes a drive with an angle of elevation of 15 degrees. If the highest point of the drive was at 60 feet, how far was the horizontal distance of the ball when it was at 60 feet in the air? ROUND TO 1 DECIMAL

223.9 feet

500

Find the length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees. (Round to nearest whole number)

2, 663 feet

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