Name the Trig Function
Trig Ratios
Trig Vocabulary
Pythagorean Theorem
Application Problems
100
The trig function that is defined as opposite over hypotenuse.
sine
100
What is the tangent ratio given that theta is angle A?
24/7
100
The side opposite the right angle of a right triangle.
What is the hypotenuse?
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.
tangent
200
Solve for the measure of angle B.
angle B = 56.25 degrees
200
What is the only type of triangle you can use trig ratios with?
What is a right triangle?
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
What is COSINE?
This trig function is defined as adjacent over hypotenuse.
300
What is the value of x?
x=43.8
300
The 2 acute angles in a right triangle total the following degree _________
What is 90?
300
The missing side of a triangle when a=3 and c=5.
What is b=4?
300
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
θ = 73 degrees
400
We use this trig function in solving for an angle when we do not have the hypotenuse but we have the other two sides.
tan-1 or arctangent
400
What trig ratio do you need to use to solve for BC? What is the length of BC?
Cosine
BC = 1.71
400
The formula needed when a side length is missing from a right triangle and you have 2 other side lengths
What is the Pythagorean Theorem?
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
What are two ways that you can use trigonometry to find sides or angles in triangles that are NOT right?
What are the Laws of Sine and Cosine?
500
Do the side length 34, 25.5 & 44.7 create a right triangle?
What is NO?
500
The sun shines on a flagpole, causing a shadow to be cast on the ground. The distance from the base of the pole to the tip of the shadow is 49 feet. At that time of day, the sun’s rays make an angle of 38 degrees with the ground. How tall is the flagpole?
38.3 ft