Which Ratio
Find the missing Angle
Find the Missing Side
Application Problems
100

Use it when you know the length of the hypotenuse and the adjacent leg.

What is Cosine?

100
Find theta with the given information. Adjacent = 12 Hypotenuse = 13
What is 22.6 degrees?
100
Find the missing Side: Theta = 37 Adjacent = 11 Hypotenuse = ?
What is 13.8?
100

The maximum height that a 20 foot ladder can reach safely if we follow the suggestion that the ladder should not make an angle greater that 75 degrees with the ground.

What is 19.32 ft?

200

Use it when you know the hypotenuse and the opposite leg.

What is Sine?

200
Find theta: Adjacent =13 Opposite = 4
What is 17.1 degrees?
200
Find the missing side: Theta = 32 Adjacent = 13 Opposite = x
What is 8.1?
200

The angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.

What is 22.7 degrees?

300

Use it when you know the two legs.

What is Tangent?

300
Find Theta: Opposite = 11.9 Adjacent = 10
What is 50?
300
Find the missing side: Adjacent = x Theta = 60 Hypotenuse = 11
What is 5.5?
300

The angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards.

What is 5.3 degrees?

400

Use it when you know want to know the opposite leg and you know the measure of the angle and other leg.

What is Tangent?

400
Find Theta: Hypotenuse = 9 Adjacent = 6
What is 48.2?
400
Find the missing side: Theta = 50.1 Adjacent = 5 Opposite = x
What is 6?
400

The length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.

What is 2663 ft?

500

Use it when you want to know the opposite leg and you know the measure of the angle and hypotenuse.

What is Sine?

500
Find Theta: Opposite = 3 Adjacent = 3
What is 45?
500
Find the missing side: Opposite = 4 Adjacent = x Theta = 41
What is 4.6?
500

The distance above sea level after a plane ascends from 1 mile at a 3 degree angle for 60 ground miles.

What is 4.1 mi?

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