Trigonometric Ratios
What is the definition of the sine ratio for a right triangle?
What is Opposite/Hypotenuse?
What does it mean for two angles to be complementary?
What is "they sum to 90 degrees"?
How can trigonometric ratios be used in architecture?
What is "to ensure structural stability"/"to calculate angles, distances, and heights of various structural elements like roofs, arches, and columns"?
What trigonometric ratio would you use if you know the opposite side and the hypotenuse?
What is sine?
Solve for the angle in a right triangle where the opposite side is 3 and the adjacent side is 4.
What is 36.87 degrees?
If one angle in a right triangle is 30 degrees, what is the sine of this angle?
What is 1/2?
If angle A is 40 degrees, what is the measure of the complementary angle?
What is 50 degrees?
A ladder makes a 60 degree angle with the ground, and it reaches a vertical height of 10 feet. How long is the ladder?
What is 11.55 feet?
What is cosine?
Solve for angle A in a right triangle where the opposite side is 8, and the adjacent side is 6.
What is 53.13 degrees?
How do you calculate the cosine of an angle using the sides of a right triangle?
What is the ratio of adjacent and hypotenuse?
How are the sine and cosine of complementary angles related?
What is "the sine and cosine of complementary angles are the same"?
If you are standing 15 feet away from a wall and looking up at a 30 degree angle, how tall is the wall?
What is 8.66 feet?
Explain when to use sine versus cosine in a right triangle problem.
What is "in both scenarios, you either know/need an angle/the hypotenuse. You use sine when you know/need the opposite side too. You use cosine when you know/need the adjacent side too."?
Given a triangle with a hypotenuse 10 and an angle 30 find the opposite side?
What is 5?
Given a right triangle with an angle with an opposite side of length 4 and a hypotenuse of length 5, what is the sine of the angle?
What is 4/5?
If sin(A)=0.6, what is cos(90-A)?
What is 0.6?
A ramp makes a 15 degree angle with the ground and is 12 feet long. How high is the ramp?
What is 3.1 feet?
If given an angle and the opposite side, which trigonometric ratio would you apply to find the adjacent side?
What is tangent?
You have a right triangle an angle of 44 degrees and the hypotenuse measuring 10. Find the measure of the adjacent side.
What is 7.19?