Pythagorean Theorem
Conversions and Angles
Trig Ratios
Special Right Triangles
Application Problems
100
The equation for Pythagorean Theorem.
a^2+b^2=c^2
100
What is degree to radians conversion formula
pi/180
100
What is the phrase we say to help us remember our trig functions?
SOH CAH TOA
100
What is the value of x?
Round to one decimal place.
x=15.4
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
200
The Pythagorean theorem only works with this.
Right triangles
200
What is 90 degrees as a radian?
pi/2
200
The trig ratio of tangent.
tanx=(opposite)/(adjacent)
200
What is the measure of angle C?
Round to one decimal place.
C = 12.7 degrees
200
Find the arc length of a circle if the radius is 3inches and the angle is 120 degrees.
s=6.3 inches
300
Find the hypotenuse length if our legs are equal to 6 and 8.
10
300
What is 198 degrees as a radian?
(11pi)/10
300
What two trig function use the "adjacent" and "hypotenuse" sides?
cosx and secx
300
What is the value of x?
Round to one decimal place.
x=11.4
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?
40ft
400
The last length if you are given a hypotenuse of 20 and a leg of 16.
12
400
Find a conterminal angle to 65 degrees that is ONE ROTATION larger.
425 degrees
400
If
sinx=9/10
what is
cscx=
cscx=10/9
400
Given the triangle, find
cot(theta)=
and
sin(theta)=
cot(theta)=(5sqrt(56))/(56)
sin(theta)=(sqrt(56))/9
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?
76.6 degrees?
500
7, 8, and 11 are able to be the lengths of a right triangle.
No
500
What is the reference angle to -520 degrees?
20 degrees
500
If
cotx=5/4
then what is
sinx
sinx=(4sqrt(41))/41
500
Find the value of x.
Round to one decimal place.
x=99.8
500
Find the area of a clock whose minute hand has moved 9 inches in 15 minutes.
Round to one decimal place.
A=25.5 inches squared