Terms and Concepts
What type of angles add up to 180 degrees?
(a) Supplementary Angles
(b) Complementary Angles
(a) Supplementary Angles
What is the memory tool used to remember the three basic trigonometric functions?
SOH CAH TOA
In order for two triangles to be similar, what must be true about their angle measurements?
They must be the same
Which of the following is the correct ratio to use when converting from degrees to radians?
(a) 𝝅 / 180 Degrees
(b) 𝝅 / 90 Degrees
(c) 180 Degrees / 𝝅
(a) 𝝅 / 180 Degrees
Which angle of a right triangle matches with the description "perpendicular to?"
Right angle
The longest side of a right triangle is known as what?
Hypotenuse
Write out the formula for sin θ.
Sin θ = Opposite / Hypotenuse
In order for two triangles to be similar, what must be true about their side lengths?
They must be equally proportionate.
Convert 60 degrees to radians.
𝝅 / 3
Which leg (vertical or horizontal) of a right triangle matches with the description "height."
Vertical leg
What should you use to solve for an unknown side of a right triangle?
Pythagorean Theorem
Write out the formula for cos θ.
Cos θ = Adjacent / Hypotenuse
Are the following triangles similar?
Convert 𝝅 to degrees.
180 degrees
Which angle (rising upwards or falling downwards) of a right triangle matches with the description "angle of depression?"
Angle falling downwards
What should you use to solve for an unknown angle of a right triangle?
Inverse Trig Functions
Write out the formula for tan θ.
Tan θ = Opposite / Adjacent
Find the missing side of the triangle assuming that the triangles are similar.
https://study.com/cimages/multimages/16/0012942813609641267588.png
EY = 7 inches
Convert 135 degrees to radians.
3𝝅 / 4
An 8 foot long sheet of plywood is leaning against the wall so that the base is 2 feet from the wall. Find how high up on the wall the sheet is leaning. Round your answer to the nearest tenth.
Height = 7.7 (2√15) Feet
Adjacent angles share which two things?
(a) Common Side
(b) Common Degree Measurement
(c) Common Length
(d) Common Vertex
(a) Common Side
(d) Common Vertex
Find the remaining trig function values using the following trig function: sin θ = √3 / 2.
Cos θ = 1/2
Tan θ = √3
Find the missing side of the triangle assuming that the triangles are similar.
https://study.com/cimages/multimages/16/similar_18913120108384390380.jpg
SR = 30
Convert 5𝝅 /3 to degrees.
300 degrees
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He found a plane with an incline of 12 degrees that he could climb until he could get to an altitude of 100 meters. How far should Galileo walk up the inclined plane? Round your final answer to the nearest hundredth.
meters
Hypotenuse = 480.97 meters