Find the Side
Find the Angle
Word Problems
Approximating Circles
Triangle Ideas
100
What are the 3 trig function equations used to find missing side lengths?
sin(theta)="opposite"/"hypotenuse"
cos(theta)="adjacent"/"hypotenuse"
tan(theta)="opposite"/"adjacent"
100
What are the three trig equations used to find missing angles?
theta=arcsin("opposite"/"hypotenuse")
theta=arccos("adjacent"/"hypotenuse")
theta=arctan("opposite"/"adjacent")
100
Draw the problem and label the sides as sin cos and hyp
You are in a hot air balloon 500 feet above the ground. You are looking down at a house at a 60o angle. If you were trying to find the distance directly from you to the house, label the according side x.
Checked individually
100
How many sides does a pentagon have?
5
100
Using the formula sin(θ) = cos(90-θ), find the value of x
sin(28)=cos(x)
x=62
200
What method other than trig functions can be used to find missing sides? When can it be used?
Pythagorean theorem
a^2+b^2=c^2
Can be used when you already have 2 sides
200
What other method besides inverse trig functions can be used to find angles? When can it be used
90-theta
Can be used when you have the other missing angle (not including the right angle)
200
Draw the problem and label the sides as sin cos and hyp
You are standing 50 yards away from a billboard looking up at the top at a 70o angle. Label the height of the billboard as x as if that's what you want to find
Checked individually
200
How many sides does a octagon have?
8
200
Using the formula sin(θ) = cos(90-θ), find the value of x
sin(x)=cos(74)
x=16
300
What is the length of the hypotenuse?
4.5
300
Find your missing angle
54 degrees
300
A plane is descending for landing and has traveled 260 miles horizontally and 120 miles vertically. What is the angle of descent?
24.76o
300
How many sides does a decagon have?
10
300
Using the formula sin(θ) = cos(90-θ), find the value of x
sin(f)=cos(x)
x=90-f
400
Find x
sin(20)=6/x
x=17.54
400
"Find " theta
arcsin(6/24)
14.47
400
You are standing 12 meters away from a building. You have to look up at a 58o angle to see the top. How tall is the building?
19.2 meters
400
How do you know what shape will best approximate a circle?
Whatever shape has the most sides
400
Name Sin(35), Cos(35) and Tan(35)
Sin(35)= b/a
Cos(35)=c/a
Tan(35)=b/c
500
Find x
14.85
500
Find both missing angles
69.33 and 20.67
500
A lifeguard on a beach sees a person drowning from the lookout tower. They radio to the lifeguard already below to tell them where they need to go to save them. The person drowning is 30 feet straight out from the lookout tower and the lifeguard ready for action is 5 feet to the right of the lookout tower. What angle does the lifeguard need to run to get to the person who needs help?
80.53 degrees
500
The perimeter of which inscribed figure below gives the best approximation of the circumference of a circle?
A triangle inscribed in a circle
A pentagon inscribed in a circle
A square inscribed in a circle
An octagon inscribed in a circle
An octagon
(the figure with the most sides will best approximate)
500
Name Sin(55), Cos(55) and Tan(55)
Sin(55)= c/a
Cos(55)=b/a
Tan(55)=c/b