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Which Ratio?
Trig Ratios
Similar Figures
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

If two triangles are similar, what can you say about their angles?

All corresponding angles are equal.

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

cos-1(0.63)

What is 50.95?

200

True or False: All congruent figures are similar.

True

200

A building 20 m tall casts a shadow 12 m long. What is the angle of elevation of the sun?

About 59°

300
Use it when you know the two legs.
What is Tangent?
300

If sin(30°) = 0.5, what is the length of the hypotenuse if the opposite side is 4?

The hypotenuse is 8.

300

A tree casts a shadow 10 m long. At the same time, a 2 m stick casts a shadow 1.5 m long. How tall is the tree?

The tree is approximately 13.33 m tall.

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

You’re finding the height of a hill. You measure a 25° angle of elevation from 100 meters away. Which trig function do you use?

Tangent.

400

If the scale of a map of Canada is 200 km : 1 cm, what distance would be represented by 6.45 cm on the map?

1290km

400

The angle of depression of a sledding run 300 yards long (hypotenuse) 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

A ladder leans against a wall, forming a 60° angle with the ground. What trig ratio helps find the height of the ladder on the wall?

Sine

500

A doorway of width 3ft and height of 6.2 ft is similar to another doorway of width x and height 10 ft. What is the measure of x?

4.8 feet

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?