Vocab Words
The longest side of a right triangle, opposite the right angle.
What is the Hypotenuse?
In a right triangle with legs of 3 yards and 4 yards, this is the length of the hypotenuse.
What is 5 yards?
The ratio of the opposite side to the hypotenuse is known as this trigonometric function.
What is sine?
A right triangle has one angle measuring 35°. This is the measure of the other non-right angle.
What is 55°?
(Since the 2 acute angles are complimentary, they must add up to 90 degrees. The missing angle is 90°−35°=55°.)
In a word problem, a ladder leans against a wall, forming a 72° angle with the ground. This is the angle the ladder makes with the wall.
What is 18°? (Since the two non-right angles are complementary, 90°−72°=18°.)
The side across from a given angle in a right triangle.
What is the Opposite?
A right triangle has a hypotenuse of 13 centimeters and one leg of 5 centimeters. This is the length of the missing leg.
What is 12 centimeters?
If a right triangle has an adjacent side of 4, an opposite side of 3 and a hypotenuse of 5, this is the cosine of the angle.
What is 4/5?
If the opposite side of an angle is 7 and the hypotenuse is 25, this is the measure of the angle (rounded to the nearest degree).
What is 16°?
A tree casts a shadow 10 feet long. If the angle of elevation of the sun is 45°, this is the height of the tree.
What is 10 feet?
The side next to a given angle (not the hypotenuse).
What is the Adjacent?
A right triangle has an angle of 30° and a hypotenuse of 10 feet. This is the length of the side opposite the 30° angle.
DOUBLE JEOPARDY (2X)
What is 5 feet?
The tangent of an angle is found by taking the ratio of these two sides in a right triangle.
What are the opposite and adjacent sides?
A triangle has an adjacent side of 5 and a hypotenuse of 13. This is the angle measure (rounded to the nearest degree).
What is 67°?
A pilot is descending toward a runway. If the angle of depression is 5° and the plane is at an altitude of 2,000 feet, this is the horizontal distance to the runway (rounded to the nearest foot).
What is 22,851 feet?
Formula a2+b2=c2 for right triangles.
What is the Pythagorean Theorem?
A right triangle has an angle of 45° and a leg of 8. This is the length of the hypotenuse.
What is 8 times the square root of 2?
If a right triangle has a hypotenuse of 25, an opposite side of 7 and an adjacent side of 24, this is the tangent of the angle.
What is 7/24?
If a right triangle has an opposite side of 9 and an adjacent side of 12, this is the missing angle (rounded to the nearest degree).
What is 37°?
A person is standing 50 feet away from a building and looks up at a 60° angle to the top. This is the height of the building (rounded to the nearest foot), assuming the person’s eye level is at 5 feet.
DOUBLE JEOPARDY (2X)
What is 87 feet?
A mnemonic to remember the trig ratios.
What is SOHCAHTOA?
In a right triangle, the opposite side to a 40° angle is 7 meters. This is the length of the hypotenuse. (Which trig function do you use?)
What is approximately 10.9 meters?
In a 30-60-90 triangle, the sine of 30° is equal to this fraction.
What is 1/2?
A ramp is built with a rise of 4 feet and a run of 9 feet. This is the angle the ramp makes with the ground (rounded to the nearest degree).
What is 24°?
A ship is 1,200 meters away from a lighthouse. The angle of elevation to the top of the lighthouse is 25°. This is the height of the lighthouse (rounded to the nearest meter).
What is 560 meters?