Name the Trig Function
Trig Ratios
Special Right
Pythagorean Theorem
Application Problems
100
The trig function that is defined as opposite over hypotenuse.
What is SINE?
100
What is the tangent ratio given that theta is angle A?
24/7
100
If one leg equals 3 cm in a 45, 45, 90 triangle, what does the other leg equal?
What is 3 cm.
100
The missing side of the right triangle when a=6 and c=10.
What is b=8?
100
The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?
26.2
200
This trig function is defined as opposite over adjacent.
What is TANGENT?
200
Solve for the measure of angle B.
angle B = 56.25 degrees
200
If the short leg of a 30/60/90 triangle has a length of 10 m, what is the length of its other leg?
10√3 m
200
The missing side of a right triangle when b=9 and c=15.
What is a=12?
200
A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52 degrees . How high off the ground is the kite?
78.8 ft
300
This trig function is defined as adjacent over hypotenuse.
What is COSINE?
300
What is the value of x?
x=43.8
300
The 45 degree angle has a side length of 5 inches. What is the side length of the hypotenuse?
5√2
300
The missing side of a triangle when a=3 and c=5.
What is b=4?
300
The sun shines on a flagpole, causing a 49 foot shadow to be cast on the ground. At that time of day, the sun’s angle of elevation is 38 degrees with the ground. How tall is the flagpole?
38.3 ft
400
Use this trig function when you do not have the hypotenuse but you have the other two sides.
What is TANGENT?
400
What trig ratio do you need to use to solve for BC? What is the length of BC?
Cosine
BC = 1.71
400
If the side length of the hypotenuse is 80 yards in a 30, 60, 90 triangle, what are the lengths of the legs?
short leg = 40 yards
long leg = 40√3 yards.
400
The missing side of a right triangle when a=7 and b=7.4.
What is c = 10.2?
400
A plane leaves the ground with an elevation angle of 6 degrees. The plane travels 10 miles horizontally. How high is the plane at the time?
1.1 Miles
500
What are trig ratios used to solve for? What do you think inverse trig ratios used to solve for?
Trig ratios are used to solve for a side in right triangles and inverse trig ratios are used to solve for an angle in right triangles.
500
Find the missing angle measure, denoted with the question mark.
53 degrees
500
Solve for x & y
x=13
y=13 ⎷2
500
Do the side length 34, 25.5 & 44.7 create a right triangle?
What is NO?
500
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 40° and the distance to the kite is 289 feet. Your hand is 4 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
189.8 feet