Kuis Apersepsi (Kode: A)
Sebelum belajar Trigonometri ayo ingat kembali materi sudut, Pythagoras, dan perbandingan sisi-sisi pada segitiga siku-siku! #math #aperception #Trigonometry
Questions and Answers
- 1.
Perhatikan gambar di berikut! Besar sudut α adalah …°.
- A.
50
- B.
60
- C.
65
- D.
70
- E.
110
Correct Answer
B. 60Explanation
The correct answer is 60. The angle α in the given image appears to be approximately 60 degrees.Rate this question:
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- 2.
Perhatikan gambar berikut! Nilai x adalah …°.
- A.
20
- B.
21
- C.
22
- D.
23
- E.
24
Correct Answer
E. 24 -
- 3.
Perhatikan gambar berikut! Nilai p pada gambar tersebut adalah ... cm.
- A.
10
- B.
11
- C.
12
- D.
13
- E.
14
Correct Answer
A. 10Explanation
Based on the given image, the value of "p" can be determined by counting the number of lines between the two arrows. In this case, there are 10 lines between the arrows, indicating that the value of "p" is 10 cm.Rate this question:
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- 4.
Diketahui segitiga ABC siku-siku di B memiliki panjang sisi AB dan AC berturut-turut adalah 5 cm dan 13 cm. Panjang sisi BC adalah ... cm.
- A.
8
- B.
9
- C.
10
- D.
11
- E.
12
Correct Answer
E. 12Explanation
In a right triangle, the square of the length of the hypotenuse (BC) is equal to the sum of the squares of the lengths of the other two sides (AB and AC). Using the Pythagorean theorem, we can calculate BC as follows: BC^2 = AB^2 + AC^2 = 5^2 + 13^2 = 25 + 169 = 194. Taking the square root of 194, we find that BC is approximately equal to 13.928. Since the answer choices are all integers, the closest integer to 13.928 is 12. Therefore, the length of side BC is 12 cm.Rate this question:
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- 5.
Perhatikan gambar berikut! Sudut terkecil yang dibentuk oleh jarum jam tersebut adalah …°.
- A.
60
- B.
70
- C.
75
- D.
80
- E.
90
Correct Answer
C. 75Explanation
The smallest angle formed by the clock hands is 75 degrees.Rate this question:
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- 6.
Perhatikan gambar berikut! Sudut terkecil yang dibentuk oleh jarum jam tersebut adalah …°.
- A.
60
- B.
70
- C.
75
- D.
80
- E.
90
Correct Answer
E. 90Explanation
The smallest angle formed by the clock hands is 90 degrees. This is because the minute hand points directly at the 12 while the hour hand points at the 3, creating a right angle between them.Rate this question:
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- 7.
Perbandingan panjang sisi tegak di hadapan sudut γ dan sisi di hadapan sudut siku-siku adalah ... .
- A.
3/5
- B.
3/4
- C.
4/5
- D.
5/4
- E.
4/3
Correct Answer
A. 3/5Explanation
The correct answer is 3/5. In a right triangle, the ratio of the length of the side opposite angle γ to the length of the side adjacent to angle γ is equal to the tangent of angle γ. Therefore, the ratio of the length of the side opposite angle γ to the length of the hypotenuse is equal to the sine of angle γ. Using the sine ratio, we can determine that the length of the side opposite angle γ is 3/5 times the length of the hypotenuse.Rate this question:
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- 8.
Perbandingan panjang sisi tegak di samping sudut γ dan sisi di hadapan sudut siku-siku adalah ... .
- A.
3/5
- B.
3/4
- C.
4/5
- D.
5/4
- E.
4/3
Correct Answer
C. 4/5Explanation
The correct answer is 4/5. This can be explained using the trigonometric ratios in a right triangle. In a right triangle, the side opposite the right angle is called the hypotenuse, and the sides adjacent to the right angle are called the adjacent and opposite sides. The ratio of the length of the opposite side to the hypotenuse is sine, and the ratio of the length of the adjacent side to the hypotenuse is cosine. In this question, the length of the side opposite angle γ is compared to the length of the side adjacent to the right angle. Since the ratio is 4/5, it means that the length of the side opposite angle γ is 4/5 times the length of the side adjacent to the right angle.Rate this question:
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- 9.
Perbandingan panjang sisi di hadapan sudut siku-siku dan sisi tegak di samping sudut β adalah ... .
- A.
5/13
- B.
5/12
- C.
12/13
- D.
12/5
- E.
13/5
Correct Answer
E. 13/5Explanation
The correct answer is 13/5. This can be explained by using the trigonometric ratios in a right triangle. In a right triangle, the side opposite the angle beta is called the opposite side, and the side adjacent to the angle beta is called the adjacent side. The ratio of the lengths of these sides is given by the tangent of angle beta, which is equal to opposite/adjacent. In this case, the ratio is 13/5, which means that the length of the side opposite the angle beta is 13 units and the length of the side adjacent to the angle beta is 5 units.Rate this question:
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- 10.
Perbandingan panjang sisi tegak di hadapan dan di tegak samping sudut α adalah ... .
- A.
5/13
- B.
5/12
- C.
12/13
- D.
12/5
- E.
13/5
Correct Answer
B. 5/12Explanation
The correct answer is 5/12. The question is asking for the ratio of the length of the side opposite angle α to the length of the side adjacent to angle α. The given answer of 5/12 represents this ratio.Rate this question:
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