Which Ratio
Sin
Cos
Tan
Applications
100

The longest side of a right triangle

What is the Hypotenuse?

100

Value of Sin 30

What is 1/2?

100

Value of Cos 45

What is 0.70

100

Value of Tan 15

What is 0.26

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 19.32ft?

200

The side across from the reference angle

What is opposite?

200

The side opposite to the angle 

What is Opposite?

200

The cosine ratio of 36 degrees to 4 digits

What is 0.8090?

200

The angle given using a Tangent ratio of 1.23478 to the nearest tenth

What is 51 degrees?

200

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

What is 4.1mi?

300

You are given the hypotenuse and one leg to solve for the remaining side

What is Subtraction?

300

The value of the adjacent side when Sin A = 7/9

What is 5.65?

300

The Value of Cos A when adjacent = 5.5 and hypotenuse = 5.95 to two decimal places

What is 22.42?

300

The value of Tan (46) = 47.8/x to the nearest whole number

What is 46?

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 22.7m?

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 angle of depression when Sin A = 4.73/10 within 1 degrees.

What is 61.77 degrees?

400

The value of opposite when Cos A = 3.5/7.6

What is 6.74?

400

The value of the hypotenuse when Tan A = 5.99/6.4

What is 8.76?

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 know all the sides and an angle 

What is sin?

What is cos?

What is tan?

500

The scale factor of the adjacent side compared to the Hypotenuse when Sin A = 11/13 and Cos A = 8/13 to three digits.

What is 0.615?

500

The Inverse value of cosine when the adjacent = 6.7 and hypotenuse = 4.1 

What is error?

500

The value of x in Tan (92) = x/3.4

What is not possible? 

What is: "Not a right Triangle" ?

What is: "The angle is too large" ?

500

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

What is 2663ft?

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