Which Ratio
Use it when you know the length of the hypotenuse and the adjacent leg.
What is Cosine?
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?
June 6, 1944 (D-Day) Allied Troops staged the largest seaborne invasion in history on the beaches of Normandy. What country is Normandy in?
France
Use it when you know the hypotenuse and the opposite leg.
What is Sine?
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?
In 1947 India gained independence from this country?
England
Use it when you know the two legs.
What is Tangent?
The angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards.
What is 5.3 degrees?
In 1852 Managua became the capital of this country?
What is Nicaragua
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?
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?
This ancient Greek geometer was so influential that the type of geometry we study was named after him?
Euclid
Use it when you want to know the opposite leg and you know the measure of the angle and hypotenuse.
What is Sine?
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?
Why did the 'Cold' War never go 'hot'? Meaning, why did the US and the Soviet Union never directly engage each other in war?
Answers vary, must make some mention of the concept of Mutually Assured Destruction (MAD).