Which Ratio?
Trig Functions
Pythagoras Theorem
Compound Interest
Applications
Factoring and FOIL
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

When one leg=3 and the hypotenuse=5 then the other leg=?

What is 4?

100

When the interest is compounded four times a year

What is Quarterly

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?
100

Factor into two binomials: 2x^2+7x+3

(2x+1)(x+3)

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

When one leg=3 and the other leg=5 then the hypotenuse=?

What is the square root of 34

200

When the interest is compounded two times a year

What is Semiannually?

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?
200

Factor into two binomials: 5n2+26n+5

(5n+1)(n+5)

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

The sine of 45 degrees.

What is 1/sqrt(2)

300

When one leg=6 and the other leg=7 then the hypotenuse=?

What is the square root of 85?

300

P = $3,927; R = 14%; N = monthly; T = 1.5 years

What is $4,838.77

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?
300

FOIL (4-x)(4+x)

What is -x2+16

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 tangent of 60 degrees.

What is sqrt(3)?

400

When one leg=7 and the hypotenuse=25 then the other leg=?

What is 24?

400

Mary borrowed $450 at 8% compounded semiannually for 3 years. Find A.

What is $569.39

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?
400

This is what the acronym foil stands for.

What is first outer inner last

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 inverse tangent of 1/3?

What is 18.43 degrees?

500

When one leg=21 and the hypotenuse=35 then the other leg=?

What is 28?

500

If Jimmy invested $4,500 into the bank at a rate of 11.5% and gains $1,035 in interest, how long did he invest?

What is 2 years

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?
500

(2x - 7)2

What is 4x2 - 28x + 49

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