Identify Trig
Trig Ratios
Trig Vocabulary
Pythagorean Theorem
Words, Words, Words
100
The trig function that is defined as opposite over hypotenuse.
Sine
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100
What is the sine ratio given that theta is angle A?
24/25
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100
The side opposite the right angle of a right triangle.
the hypotenuse
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100
The missing side of the right triangle when a=6 and c=10.
b=8
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100
The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree? (Round to the nearest tenth.)
22.6 ft
(rounded)
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200
This trig function is defined as adjacent over hypotenuse.
cosine
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200
*DD*
What trig ratio do you need to use to solve for BC? What is the length of BC?
Cosine
BC = 1.71
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200
What is the only type of triangle you can use trig ratios with?
a right triangle
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200
The missing side of a right triangle when b=9 and c=15.
a=12
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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
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300
Determine tan(B)
15
8
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300
Solve for the measure of angle B. Round to the nearest degree.
angle B = 56 degrees
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300
The formula needed when a third side length is missing from a right triangle and you have 2 other side lengths.
the Pythagorean Theorem
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300
Do the lengths 34, 25.5 & 44.7 create a triangle? If so, is it a right triangle?
Yes, they make a triangle.
No, it is not a right triangle.
(Doesn't fit the Pythagorean Theorem)
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300
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
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400
Use this trig function when you do not have the hypotenuse but you have the other two sides.
Tangent
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400
What is the value of x? Round to the nearest tenth.
x=43.8
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400
The 2 leftover acute angles in a right triangle total ____ degrees.
90
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400
Solve y. (Answers in reduced radical form.)
4root2 7
or
10.58
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400
a 10 foot ladder is leaning up against a wall. The base of the ladder is 4 feet from the wall. Find the angle of elevation the ladder makes with the ground. (Round to the nearest whole degree.)
66 degrees
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500
This is the function used when you want to know the angle, but are given two of the legs of the right triangle.
Inverse Tangent
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500
Find the missing angle measure, denoted with the question mark. Round to the nearest degree.
53 degrees
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500
Find the missing side length.
(Challenge: in reduced radical form)
4root2 6
or
9.8
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500
A student whose eye level is 5 feet off the ground is staring at the roof of her school. the angle of elevation from her eye to the roof is 63 degrees. She is standing 10 feet from her school. How tall is the school?
(Round to the nearest tenth.)
24.6 ft
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