Show:
SOH CAH TOA?
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 0 degrees.
What is 1?
100

The sine of 0 degrees.

What is 0?

100
The tangent of 0 degrees.
What is 0?
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 0.866?

200
The sine of 30 degrees.
What is 1/2?
200

The tangent of 30 degrees.

What is 0.577?

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 adjacent length for the triangle (ABC) if angle C is 35 degrees and the hypotenuse side is 13.2km.

What is 10.81km?

300

The opposite length for the triangle (ABC) if angle C is 49 degrees and the hypotenuse side is 21km.

What is 15.85km?

300

The opposite length for the triangle (ABC) if angle C is 12 degrees and the adjacent side is 48in.

What is 10.20in?

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 want to know the opposite leg and you know the measure of the angle and the adjecent leg.

What is Tangent?

400

The degree for the triangle (ABC) at angle B if it has a hypotenuse side that is 7cm and an adjacent side that is 4 cm.

What is 55.15 degrees?

400

The degree for the triangle (ABC) at angle B if it has a hypotenuse side that is 5cm and an opposite side that is 3cm.

What is 36.87 degrees?

400

The degree for the triangle (ABC) at angle B if it has an opposite side that is 15cm and an adjacent side that is 12cm.

What is 51.34 degrees?

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 hypotenuse length for the triangle (ABC) if angle B is 61 degrees and the adjacent side is 26 m.

What is 53.63m?

500

The hypotenuse length for the triangle (ABC) if angle B is 28 degrees and the opposite side is 38m.

What is 80.94m? 

500

The adjacent length for the triangle (ABC) if angle A is 56 degrees and the opposite side is 4 miles.

What is 2.7 miles?

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?