Pythagorean Theorem
Trig Ratios
Solving for an Angle of a Right Triangle
Solving for the Side of a Right Triangle
Do you even know me?
100
What is the Pythagorean Theorem?
a^2+b^2=c^2
100
What are the three trig functions and their ratios?
Sine
S o/h
Cosine
C a/h
Tangent
T o/a
100
How can you tell if your calculator is set to Radians or Degrees?
If you have a newer calculator, it will say Radians or Degrees at the top. To change to degrees in both calculators, push the "mode" button, use the down arrow to where it says "RADIANS" "DEGREES" and use the right arrow to highlight "DEGREES" and hit enter. To exit this screen, push the blue 2nd button and mode.
100
**DAILY DOUBLE**
If you sing the SOH CAH TOA song and do the dance, you will double your team's points!
You must sing and dance!
100
What is Mr. Waddoups' favorite musician?
Paul Simon
200
Label the angles and sides of the given triangle with A, B, C, a, b, and c.
200
Given the following triangle and
theta
Label the hypotenuse, opposite side, and adjacent side.
200
Which trig ratio should you use to solve for the angle?
A. sintheta
B. costheta
C. tantheta
Since we are given the measurements for the hypotenuse and the adjacent side to the angle, the answer is:
B. costheta
200
Which trig ratio should you use to solve for the missing side?
A. sintheta
B. costheta
C. tantheta
C. tantheta
200
Who is Mr. Waddoups' favorite dessert?
Mississippi Mud Pie
300
Using the Pythagorean Theorem, find the missing side of the given triangle:
a^2+b^2=c^2
12^2+35^2=c^2
144+1225=c^2
1369=c^2
sqrt1369=sqrtc^2
37=c
300
Identify the trig ratios of the right triangle below:
sinA=20/25=4/5
cosA=15/25=3/5
tanA=20/15=4/3
300
Given the right triangle, find all three angle measures: 
A=37^o (given)
B= 180^o-90^o-37^o=53^o
C=90^o (given)
300
Solve the right triangle for the missing side:
Since we are solving for the side that is adjacent to the given angle and we are given the hypotenuse, we will use the trig function: Cosine
cos63=x/12
12cos63=x
x=5.45
300
What is Mr. Waddoups favorite color?
White
400
Using the Pythagorean Theorem, find the missing side of the given triangle:
a^2+b^2=c^2
x^2+8^2=12^2
x^2+64=144
x^2=80
sqrtx^2=sqrt80
x=4sqrt5
400
Find the missing side length and identify the trig ratios of the right triangle below:
Missing side length:
x^2+7^2=8^2
x^2+49=64
x^2=15
sqrtx^2=sqrt15
x=sqrt15
Trig Ratios:
sintheta=7/8
costheta=sqrt15/8
tantheta=7/sqrt15
400
Given the right triangle, find all three angle measures:
Angle J
tanJ=14/7
J=tan-114/7
J=63.43^o
Angle K
K=90^o (Given)
Angle L
180^o-90^o-63.43^o=L
L=26.57^o
400
Solve the right triangle for the missing side:
We are given a side length that is opposite of the given angle to solve for the hypotenuse side. So, we will use the trig function: Sine
sin52=18/x
xsin52=18
x=18/sin52
x=22.84
400
How many siblings does Mr. Waddoups have?
7. 3 brothers and 4 sisters.
500
A baseball diamond is a square of which each side is 90 feet long. How far would the catcher need to throw the ball from home plate to second base? Round your answer to the nearest hundredth (2 decimal places).
Hint: Draw a picture!
a^2+b^2=c^2
90^2+90^2=c^2
8100+8100=c^2
16,200=c^2
sqrt16,200=sqrtc^2
127.28=c
500
Identify the trig ratios if
tanB=3/4
Hint: Draw a triangle!
sinB=3/5
cosB=4/5
500
Given a right triangle with a leg length of a=4 cm and a hypotenuse length of c=7.5 cm, find the angle measures of the triangle.
Hint: Draw a triangle!
Angle A
sinA=4/7.5
A=sin^-1 4/7.5
A=32.23
Angle B
B=180^o-90^o-32.23^o
B=57.77^o
Angle C
C=90^o (Given)
500
Given a right triangle with side b=6 inches and an angle of
B=32^o
, find side a.
Hint: Draw a triangle!
We are given an angle and a side length that is opposite to solve the adjacent side. So, we will use the trig function: Tangent.
tan32=6/a
atan32=6
a=6/tan32
a=9.60
500
Name something that you are excited to do over the summer! (Sleeping in counts)
Anything you are excited for.