Pythagorean Theorem
The equation for Pythagorean Theorem.
What is A^2+B^2=C^2?
What are the equations for each type of triangle?
c^2=a^2+b^2 right triangle
c^2>a^2+b^2 obtuse triangle
c^2<a^2+b^2 acute triangle
The trig ratio of Cosine.
What is Cos(x)=A/H?
This is what you need in order to find an angle using inverse trig ratio.
What is two sides?
The relationship between the legs of a 45-45-90 Triangle.
What is equal?
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
The Pythagorean theorem only works with this.
What is right triangles?
Before we can classify the triangle, what do we need to do with the numbers?
a+b>c
Trig ratios are used for this.
What is solving for a missing side?
The inverse trig ratio equation for tangent.
What is tan^-1(O/A)=x?
The equation for longer leg in a 30-60-90 right triangle.
LL=SL*square root of 3
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.
*Participation Question*
128.67 feet
The hypotenuse length if our legs are equal to 6 and 8.
What is 10?
Given the side measures, classify the triangle:
11, 13, 25
Not a Triangle
This is what is in the parentheses of a trig ratio.
What is Theta?
Inverse trig ratios are used for this.
What is solving for a missing angle?
The equation for hypotenuse in 45-45-90 right trianges.
H=L*square root of 2
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 40ft?
The last length if you are given a hypotenuse of 20 and a leg of 16.
What is 12?
Given the side measures, classify the triangle:
9, 15, 19
Obtuse
Trig ratio that uses Opposite and Hypotenuse.
What is Sine?
What is the ratios?
The leg of a 45-45-90 triangle if the hypotenuse is 22.
What is
11sqrt2
?
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 76.6 degrees?
7, 8, and 11 are able to be the lengths of a right triangle.
What is No?
Given the side measures, classify the triangle:
8, 12, 14
Acute
The phrase we use to remember our Trig Ratios.
*Participation Question*
What is SOH CAH TOA?
The inverse trig equation when given that our legs are equal to 10.
What is Tan^-1(10/10)=x?
The hypotenuse of a 30-60-90 triangle if your shorter leg is 47.
What is 94?
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?