Title: MATH II EXTRA
Course: 2025 Probabilidad y Estadística

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Q: Having two conjugated angles, A= 12(x-3) ° and B=4(x-6) °, find the measure of angle B
- 81º
- 77º
- 85º
- 104º
A: 81º

Q: Determine the complement of the angle 13° 28'

(express your answer in degrees, minutes and seconds)
- 76º32’0”
- 76º43’12”
- 76.72º
A: 76º32’0”

Q: Determine the supplement of the angle 25º 37’48”

(express your answer in degree, minutes and seconds)
- 64º 22’ 12”
- 154º 22’ 12”
- 334º 22’ 12”
A: 154º 22’ 12”

Q: Find the value of angle AOB

[Image]
- 110º
- 75º
- 80º
- 82º
A: 110º

Q: Find the value of “x”

[Image]
- 18
- 20
- 22
- 24
A: 18

Q: On the following figure MN ǁ AC and AM=12, MB=24.

Find the value of “x”

[Image]
- 2
- 4
- 8
- 16
A: 4

Q: On the following figures, find the value of “x”

[Image]
- 2
- 61.3
- 92
A: 92

Q: Find the value of angle A, if the angle AOB = 120° and the segment AC is the diameter of the circumference O.

[Image]
- 30°
- 60°
- 80°
- 120°
A: 30°

Q: If x= arc DE, arc BC = 36° and ∠A = 24°, find the value of “x”

[Image]
- 12
- 48
- 84
A: 84

Q: Find the measure of angle B of the following triangle

[Image]
- 34.21º
- 40.9º
- 42.84º
- 44.5º
A: 42.84º

Q: The height of a lighthouse is 40m over the sea, the depression angle from a boat is 12°. What is the distance from the lighthouse to the boat?

[Image]
- 8.50m
- 39.12m
- 188.2 m
- 192.4 m
A: 188.2 m

Q: A person is standing 63m from the base of a tree, the person’s height is 1.62m, and the angle of elevation to the top of the tree is 35°. How tall is the tree?

[Image]
- 44.11 m
- 45.71 m
- 89.97 m
A: 45.71 m

Q: Find the measure of angle A of an oblique triangle if side a=7, b=16 and c=20.42
- 23.5º
- 20.5º
- 17.2º
A: 17.2º

Q: In a triangle side a=56, side c=70 and angle C=40 º, find measure of angle A
- 27.8 º
- 30.95 º
- 35.2 º
A: 30.95 º

Q: Find the measure of side “a”

[Image]
- 60.4
- 70.1
- 74.6
- 80.2
A: 74.6

Q: Find the measure of angle C

[Image]
- 24.5°
- 27.4°
- 32.4°
- 35.6°
A: 27.4°

Q: Having cos Q = -15/17 find the value of tan Q if its terminal side is on the Quadrant II.
- 17/15
- 8/15
- -8/15
- -17/15
A: -8/15

Q: Having two supplementary angles, A= 4(x+3) ° and B=7(x-3) °, find the measure of angle B.
- 42°
- 138°
- 17.18°
A: 42°

Q: Determine the complement of the angle 26° 28'
- 63°32'0"
- 63°53'0"
- 153°32'0"
- 153°53'0"
A: 63°32'0"

Q: Find the value of x

[Image]
- 5.5
- 11
- 8
- 6
A: 5.5

Q: Two supplementary angles have a ratio of 4:2; find the measure of the minor angle.
- 60°
- 30°
- 45°
A: 60°

Q: Find the value of "x" of the following parallel lines

[Image]
- 7
- 5
- 4
- 2
A: 7

Q: If line MN is parallel to line AC, find the value of "y"

[Image]
- 5
- 4
- 7
- 10
A: 5

Q: Find the value of “x” and “z”, if the arc ANB = 78° and the arc AMC =146°

[Image]
- x= 136° z= 68°
- x= 68° z= 34°
- x= 136° z= 136°
- x= 102° z= 51°
A: x= 136° z= 68°

Q: A person is standing 42m from the base of a large tree. The person measures the angle of elevation to the top of the tree as 6.5°. How tall is the tree?

[Image]
- 4.78m
- 4.75m
- 41.73m
- 368.6m
A: 4.78m

Q: The height of a lighthouse is 35m over the sea, the depression angle from a boat is 13°. What is the distance from the lighthouse to the boat?

[Image]
- 151.6m
- 155.59m
- 35.92m
A: 151.6m

Q: Find the value of angle BOC, if angle AOB = 120° and the segment AC is the diameter of the circumference O.

[Image]
- 60°
- 30°
- 80°
A: 60°

Q: If sec A = 1.19175, find cos A
- 0.8394
- 0.9417
- 0.8391
- 0.9206
A: 0.8394

Q: Find angle B of the following triangle

[Image]
- 42.84°
- 39.21°
- 40.9°
- 44.5°
A: 42.84°

Q: A plane has traveled 150 km from city A, and should turn certain angle to land in the city C. Find the value of the angle to be rotated and the distance between city A and city B

[Image]
- Angle B=124°, d=363.6km
- Angle B=124°, d= 61.88km
- Angle B=56°, d=89.26km
- Angle B=56°, d=42.53km
A: Angle B=124°, d=363.6km

Q: Find the measure of angle A, of the triangle on the following figure

[Image]
- Angle A=35.8°
- Angle A=25.6°
- Angle A=32.7°
- Angle A=40.1°
A: Angle A=35.8°

Q: If in a right triangle, cos B = \( \frac{12}{37} \), find cot B

NOTE: write your answer as a decimal number with four decimal places (ex: 0.2222)
A: 0.3428

Q: Find the perimeter of a triangular park if its measures are like the following figure:

[Image]

NOTE: round your answer to the nearest tenth, only numbers
A: 199.5

Q: Convert 220° to radians
- \( \frac{5 \pi }{9} \)
- \( \frac{11 \pi }{8} \)
- \( \frac{11 \pi }{9} \)
- 4.32
A: \( \frac{11 \pi }{9} \)

Q: Convert 315° to radians
- \( \frac{7 \pi }{4} \)
- \( \frac{7 \pi }{8} \)
- \( \frac{7 \pi }{2} \)
- 10.99
A: \( \frac{7 \pi }{4} \)