- A158 m
- B100.6 m
- C136.5 m
- D200.75 m
Height and Distance - Quiz
- A7.02 m
- B6.5 m
- C5.62 m
- D6.9 m
- Ahypotenuse
- Bsame as adjacent side
- Copposite side
- Dnone of the sides
- Aangle of depression
- Bangle of deviation
- Cangle of dissociation
- Dangle of right angled triangle.
- AIncreasing
- BDecreasing
- CNo change
- DNone of the above
- ACosecant?
- BSecant?
- CCot?
- DNone of the above
- ABayes theorem
- BPythagoras theorem
- CAngle bisector theorem
- DNone of the above
- AHeight of the object could be found
- BAble to find whether object is moving or not
- CNo use of these data
- DAble to find what type of object it is.
- A50.25m
- B100.98 m
- C49.18m
- D45m
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Height and Distance - Quiz
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Time Taken: Questions: Answered: Not Answered:
Correct Answer:
Wrong Answer:
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- A. 158 m
- B. 100.6 m
- C. 136.5 m
- D. 200.75 m
Remarks:
Explanation:
Assume the distance between the tower and the two cars is x+y.'
[adjacent side = car-to-tower distance] [opposite side = tower height]
tan = opposite side/adjacent sideTriangle 1:
tan30° = 50/x => x = 50√3Triangle 2:
tan45° = 50/y => y = 50SOLUTION
Distance between two cars = x + y = 503 + 50 = 50(3+1) = 50*2.732 = 136.5 m- A. 7.02 m
- B. 6.5 m
- C. 5.62 m
- D. 6.9 m
Remarks:
Explanation: Let AB be the wall and BC be the ladder.
Then, ACB = 60° and AC =3.45 m.
AC/BC = cos 60° = 1/2
= 2 x AC
= (2 x 3.45) m
= 6.9 m.
- A. hypotenuse
- B. same as adjacent side
- C. opposite side
- D. none of the sides
Remarks:
Explanation:
The height of the object is on the opposite side. It is commonly calculated using Pythagoras' theorem
(hypotenuse)²= (opposite side)² + (adjacent side)²
- A. angle of depression
- B. angle of deviation
- C. angle of dissociation
- D. angle of right angled triangle.
Remarks:
Explanation:
It's an angle formed with the horizontal line if the line of sight is downward from the horizontal line.
- A. Increasing
- B. Decreasing
- C. No change
- D. None of the above
Remarks:
Explanation:
Output: Option A is correct.
The Length of the shadow here considered as adjacent side and we know that length of adjacent side is inversely proportional to angle of elevation. Since When the shadow is decreasing, then the angle will be increased.
- A. Cosecant?
- B. Secant?
- C. Cot?
- D. None of the above
Remarks:
Explanation:
sinθ = opposite side/hypotenuse.
Inverse and reciprocal is same so as hypotenuse/opposite side is equal to cosecantθ. Option A is correct
- A. Bayes theorem
- B. Pythagoras theorem
- C. Angle bisector theorem
- D. None of the above
Remarks:
Explanation:
Option B is correct.
- Bayes theorem deals with probability.
- Angle bisector theorem deals with triangle lonely.
Hence Pythagoras theorem only deals with right angled triangle and used to find length of sides of triangle.
- A. Height of the object could be found
- B. Able to find whether object is moving or not
- C. No use of these data
- D. Able to find what type of object it is.
Remarks:
Explanation:
Output: Height of the object could be found by using trigonometric formula like sinθ = height of the object/distance of the object.
- A. 60
- B. 90
- C. 45
- D. 180
Remarks:
Explanation:
the trigonometric formula which tells both height and distance is tanθ which is equal to height of the object/ distance of the shadow.
Output: Since, we know that tan45° = 1 , then the angle of elevation is 45°.
- A. 50.25m
- B. 100.98 m
- C. 49.18m
- D. 45m
Remarks:
Explanation: Option C is correct.