Which Ratio?
Cosine
Sine
Tangent
Applications
100

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

What is Cosine?

100

The cosine of an angle formed by right triangle with a hypotenuse of 10 and the adjacent side to angle 4.  Round to nearest tenth of a degree.

What is 66.4 degrees?

100

The sine of an angle created by a right triangle and hypotenuse of 12 and the opposite side of 3.  Rounded to the nearest tenth.

What is 14.5 degrees?

100

The angle formed by a right triangle whose side adjacent to the angle is 8 and the side opposite to the angle is 13.

(round to nearest tenth of  a degree)

What is 58.4 degrees?

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 grater 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

The cosine of 30 degrees.

What is sqrt(3)/2?

200

Angle formed if opposite side is 3 and hypotenuse is 5?  Round to nearest tenth of a degree.

What is 36.9 degrees?

200

The tangent of 30 degrees. (exact value)

What is 1/sqrt(3)?  or sqrt(3)/3

200

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?

300

Use it when you know the two legs.

What is Tangent?

300

The cosine of 45 degrees.

What is 1/sqrt(2)  or sqrt(2)/2

300

The sine of 45 degrees.

What is 1/sqrt(2)? or sqrt(2)/2

300

The tangent of 45 degrees.

What is 1?

300

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 m?

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

The cosine of 60 degrees.

What is 1/2?

400

The sine of 60 degrees.

What is sqrt(3)/ 2.

400

The tangent of 60 degrees. (exact value)

What is sqrt(3)?

400

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

What is 5.3 degrees?

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

The cosine of an angle formed by right triangle with a hypotenuse of 4 and the adjacent side to angle 14.  Round to nearest tenth.

What is an impossible triangle.  The hypotenuse cannot be shorter than one of the legs.

500

The sine of 30 degrees.

What is 1/2.

500

The angle formed by a right triangle whose side opposite to the angle is 18 and the side adjacent to the angle is 26.

(round to nearest tenth of  a degree)

What is 34.7 degrees.

500

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?

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