Trig-ology
Angle & Relationships
Lines and Rays
Sine and Cosine of Complementary Angles
Word Problem Set Up
100
the ratio opposite over hypotenuse represents what trig function
What is sine
100
The name of a pair of angles that equal to 90 degrees
What is complementary
100
Part of a line with one end point
What is a ray?
100
Sin A = Cos B, what is the value of A + B?
What is 90o?
100
A man is in a boat that is floating 175 feet from the base of a 200-foot cliff. What is the equation that will find the angle of depression between the cliff and the boat?
What is tan-1x = 175/200?
200
the ratio opposite over adjacent represents what trig function
What is tangent
200
Two or more angles that sum 180o
What is supplementary angles?
200
The line that intersects lines that do not intersect
What is a transversal?
200
What is true about the value of the sine and cosine of complementary angles?
What is the values are congruent?
200
Walter is standing 30m from the base of a tree. He determines the angle of elevation is 31° with a clinometer that he reads 1.5m above the ground. Set up the equation to find the height of the tree.
What is (tan 31° = x/30) + 1.5?
300
the trig function that would be used to solve b
What is tangent
300
The angle relationship is shown in this picture
What is vertical angles
300
Part of a line contained between two points
What is a line segment?
300
Sin 30.7o = Cos B, what is B?
What is 59.3o?
300
A 10-foot ladder is placed against the side of a building such that the bottom of the ladder is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, it is moved 3 feet closer to the base of the building. To the nearest foot, how much further up the building does the ladder now reach? Write an equation(s) that would represent your answer.
102 = 82 + x2 and 102 = 52 + x2, subtract the final answers and round to whole number
400
If the Sin B = 3/5, what is the perimeter of the triangle?
What is 12?
400
If the first angle of a triangle is 15o, and the second angle is 4 times the first, what is the value of the third angle?
What is 105o?
400
The point where an angle is formed
What is a vertex?
400
If sin A = 7/10, what is the cos B?
What is 7/10?
400
Rihanna is standing on top of a 40' high building. The angle of elevation from where Rihanna is standing to a nearby 60' high building is 41°. What is the equation that determines how far apart the buildings are?
What is tan 41° = 20/x?
500
The trig function that would be used to solve
angleA
What is cos-1 (cosine inverse)
500
Name the marked angles and state their relationship 
What is alternative interior angles and congruent?
500
Two rays with the same endpoint
What is an angle?
500
In a right triangle, sin(40 − x)° = cos(3x)°. What is the value of x?
What is 25?
500
On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the flagpole. How tall is the tree?
x/40 = 48/60