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Geometry - Trig and Geometric Mean Flashcards | StudBud
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Geometry - Trig and Geometric Mean
Geometry - Trig and Geometric Mean
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Questions solely based on Trigonometric questions and Geometric Mean
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Questions
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Answers
1
Choose the correct answer.
AE / AD
AB / AC
AD / DE
BC / AB
2
If SU = h, UT = 12, & RT = 42, determine the value of h.
6√(14)
6√(3)
6√(35)
6√(10)
3
What does "TOA" in SOH-CAH-TOA stand for?
tan = hyp / adj
tan = opp / adj
tan = opp / hyp
tan = adj / opp
4
Solve the problem given (Hint: Draw a diagram)
16
18
19
15
5
What is the measure of ∠A, to the nearest degree?
57
33
50
40
6
What is the angle of inclination, x, of this ramp, to the nearest hundredth of a degree?
85.22
4.76
4.78
85.24
7
If 129.5 meters of cable connected the boat to the parasail, approximately how high is the man?
244.4
109.8
80.9
68.6
8
What does "CAH" in SOH-CAH-TOA stand for?
cos = hyp / adj
cos = adj / opp
cos = adj / hyp
cos = opp / adj
9
If sin(2x + 7)° = cos(4x − 7)°, what is the value of x?
21
7
15
30
10
Right triangle ABC with right angle at C. If sinA increases, does cosB increase or decrease?
Cos B decreases because A and B are vertical angles
Cos B increases because A and B are supplementary
Cos B decreases because Sin A ≠ CosB
Cos B increases b/c SinA = CosB
11
Which equation would determine the value of angle A?
sinA = 8 / 17
tanA = 15 / 8
tanA = 8 / 15
cosA = 15 / 17
12
In right triangle ABC, m∠C = 90°. If cosB = 5 /13, which function also equals 5 /13?
sinA
tanB
sinB
tanA
13
Complementary angles always sum to...?
90°
30°
45°
180°
14
In ABC, the complement of ∠B is ∠A. Which statement is always true?
tan∠A = tan∠B
sin∠A = cos∠B
sin∠A = sin∠B
cos∠A = tan∠B
15
In right triangle ABC where C = 90°, angles A and B are considered to be...?
vertical angles
complementary
linear pair
supplementary
16
Which equation is always true in right triangle ABC where angle C is 90°?
Cos A = Cos B
Cos A = Sin C
Sin A = Cos B
Sin A = Sin B
17
In right triangle ABC, m∠C = 90° and AC ≠ BC. Which trigonometric ratio is equivalent to sinB?
tanB
tanA
cosA
cosB
18
What does "SOH" in SOH-CAH-TOA stand for?
sin = opp / adj
sin = hyp / opp
sin = adj / opp
sin = opp / hyp
19
To the
nearest tenth of an inch
, what will be the length of the springboard, x?
27.0
2.3
28.2
8.3
20
Solve the problem given.
17
18
22
11
21
What is the measure of ∠S, to the nearest degree?
43º
67º
47º
23º
22
When you are determining the missing angle in a right triangle, you must use...?
regular trigonometry
inverse trigonometry
Pythagorean theorem
distance formula
23
Which expression is always equivalent to sinx when 0° < x < 90°?
cos(2x)
cos(90° − x)
cos x
cos(45° − x)
24
Choose the correct answer.
tan T = RM / EM
tan E = TM / JM
cos R = JM / JT
cos J = RM / RE
25
In right triangle ABC where C = 90°, Sin A and Cos B are called...?
co-functions
slopes
sides
parallel
26
Which proportion in relation to ABC and RST is
not
correct?
BC/ST = AC/RT
BC/ST = AB/RS
AB/RS = RT/AC
AB/AC = RS/RT
27
If BD = 4, AD = x − 6, and CD = x, what is the length of CD?
2
11
8
5
28
To the nearest foot, determine and state how far the ship traveled from point A to point D.
590
585
582
603
29
Which lengths would
not
produce an altitude that measures 6√(2)?
AD = 8 and AB = 17
AD = 6 and DB = 12
AD = 2 and DB = 36
AD = 3 and AB = 24
30
In a right triangle, the acute angles have the relationship sin(2x + 4) = cos(46). Determine x.
21
24
20
25
31
Solve the given problem.
11.2
16.6
13.5
29.7
32
Solve the problem given (Hint: Draw a diagram)
18.7
6.9
18.8
6.8
33
In a right triangle, sin(40 − x)° = cos(3x)°. What is the value of x?
25
20
15
10
34
Supplementary angles always sum to...?
30°
90°
45°
180°
