Pythagorean Theorem
Triangle Sum Theorem
Inverse Trig and Triangle Sum Theorem
Angle of Elevation and Depression
Trivia
100
We use the Pythagorean Theorem when given ___________ and asked to find an unknown side.
2 sides
100
We use the Triangle Sum Theorem when given __________ and asked to find an unknown angle.
2 angles
100
If one acute angle of a right triangle is 30 degrees, what is the other angle?
60 degrees
100
Matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42 ̊. How far is the boat from the base of the cliff? Round to the nearest hundredth.
338.74 feet
100
What is the largest bone in the human body?
What is the femur?
200
Will side lengths of 10, 11, and 21 form a right triangle? Explain.
No, because 102+112 is not equal to 212.
200
We use trig ratios when we have _________________
and want to find a missing side
1 side and 1 angle
200
We use trig ratios when we have _______________ and want to find a missing angle
at least 2 sides
200
A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65 ̊. How tall is the tower? Round to the nearest hundredth.
128.67 feet
200
What country produces the most tea?
What is China?
300
What is x?
sqrt (58) or 7.6
300
What trig ratio would you use to solve a?
Cosine
300
Which inverse trig function would you use?
cos-1
300
The angle of elevation from a kicker’s foot on the football field to the top of the goal post bars is 17° . If he is standing 131 feet from the base of the goal post, how tall is the goal post?
What is 40 ft?
300
In one of the most popular Dr. Seuss books, what will Sam-I-Am not eat?
What are green eggs and ham?
400
Find x. 
Find x.
Sqrt (112) or 10.58
400
Find y
16tan(40) = 13.43
400
What is theta here?
cos-1 (9/12) = 41.4 degrees
400
A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of elevation from the point the dog is standing on the ground to the cat?
What is 72.6 degrees?
500
If the bottom of a 6ft ladder is placed 3ft from a wall before being leaned against it, how far up the wall does the ladder reach? Round to the hundredths place.
5.2 ft
500
Find x
x = 16/cos(40) = 20.
500
What is angle x?
tan-1 (10/3) = 73.3 degrees
500
Building A is 480 feet tall and Building B is 654 feet tall. If the angle of depression from the top of Building B to the top of Building A is 42° , how far apart are the buildings?
What is 193.2ft?
500
What are the names of the 4 ghosts in Pac-Man?
Who are Inky, Blinky, Pinky, and Clyde?