The acronym for remembering the three trig ratios.
What is SohCahToa?
Nola is standing 42 feet away from the base of a building looking up with an angle of elevation of 48 degrees, at Wyatt, who is preparing to throw a baseball down to her. How tall is the building?
What is 46.6 feet?
The ratio for sine.
What is opposite over hypotenuse?
A 30-60-90 triangle has a hypotenuse of 14. Name the measure of the short leg.
What is 7?
Eva, Sam, and Maddy are all at an apple farm picking apples off of a tree. Eva bets them all that she can climb to the top and get the highest apple, which is 52 ft off the ground. If Sam and Maddy are 9 feet from the tree, what is the angle of elevation (theta) from the girls to Eva in the tree?
What is 80.2 degrees?
The ratio of tangent.
What is opposite over adjacent?
A 45-45-90 triangle has a hypotenuse of 3sqrt2. What is the measure of the legs?
What is 3?
Mitchell, Dominic, and Max decide to have a Pokémon battle. Dominic summons Charizard who stands at 18 feet high, and Mitchell and Max are looking up at Charizard with an angle of elevation of 27 degrees. How far away are Mitchell and Max from the Pokémon?
What is 35.3 feet away?
The trig function that has the ratio adjacent over hypotenuse.
What is cosine?
A 30-60-90 triangle has a hypotenuse of 10. Name the measure of the long leg.
What is 5sqrt3?
Noah and Connor are out playing golf. Connor smashes a drive with an angle of elevation of 15 degrees. If the highest point of the drive was at 60 feet, how much ground had been covered when the ball was at 60 feet in the air?
(Yes, I am fully aware this won't generate a true right triangle. Draw it as though it were one.)
What is 224 feet?
The two trig functions that cannot have a value greater than or equal to 1.
What are sine and cosine?
A 45-45-90 triangle has a hypotenuse of 5. What is the measure of the leg?
What is 5/sqrt2?
Maggie and Amara are hiking Douglass Mountain. Maggie decides to climb up into the 53 foot high observation tower when they get to the summit. She looks down at Amara at an angle of depression of 47 degrees. How far is Amara from the base of the tower?
What is 49.4 feet?