Pythagorean Theorem
Special Right Triangles
Trigonometry
Inverse Trigonometry
Angle of Elevation/Depression
Misc.
100
x= 10
100
Find the missing side length
x= 4 √(2)
100
x= 5.1
100
22.6o
100
True or False: Angles of depression are equal to angles of elevation
True!
100
How do you know when to use Trig or Pythagorean Theorem to find missing sides of a right triangle?
When you have a reference angle, use trigonometry. If you have two side lengths but no reference angle, use Pythagorean Theorem.
200
a= 4 √(3) or 6.9
200
x= 9
200
x= 5.4
200
50o
200
For angles of elevation and depression, we create the angle above or below the _____________
Horizontal line
200
What do you need to determine the measure of an angle in a right triangle?
Two side lengths, use an inverse trig function
300
x= 5 √(11) or 16.58
300
Find the missing side lengths
x= 2 /√(2)
300
x= 11.1
300
48.2o
300
An escalator at a shopping center is 200 ft. long, and rises at an angle of 15°. What is the vertical rise of the escalator? Round to the nearest foot.
x=52 ft
300
Do the following side lengths make a right triangle?
29, 18, 14
No, they make an obtuse triangle
400
How far away is the ladder from the base of the wall?
5 feet
400
Find the missing side lengths
y= 5
x= 5 √(3)
400
x= 61.6
400
28.8o
400
The ramp on the back of a moving van is 3 ft high and rises at an angle of 25o with the ground. How long is the ramp? Round to the nearest foot.
x=7 ft
400
What does SOH-CAH-TOA stand for?
Sine is Opposite over Hypotenuse
Cosine is Adjacent over Hypotenuse
Tangent is Opposite over Adjacent
500
Find the distance between the two points, to the nearest tenth
c= 9.4
500
Find the missing side lengths
x= 6
y= 12
500
x= 25.6
500
22.5o
500
Joe is standing on top of a building and there is a horizontal distance of 500 feet from Joe to another building that is the same height. Joe looks at the bottom of the building at an angle of 62°. How tall is the building?
940.4 ft
500
What is a pythagorean triple?
3 integers that satisfy the Pythagorean Theorem