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Two trees are standing along the opposite sides of a road. The distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?
  • a)
    200
  • b)
    200√3
  • c)
    100√3
  • d)
    250
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two trees are standing along the opposite sides of a road. The distan...
AB = 200 metres
Angle AEB = 45°
CD = second tree = h metres
Angle CED = 60°
E = point on the road
In triangle ABE,
tan 45° = AB/BE
⇒ 1 = 200/BE metres
BE = 200 metres
DE = 200 metres
In triangle CDE,
tan 60° = CD/DE
h = 200√3
Hence, answer option (b) is correct.
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Community Answer
Two trees are standing along the opposite sides of a road. The distan...
Given information:
- Distance between the two trees = 400 metres
- Angle of depression from the top of the tree with height 200 metres = 45°
- Angle of depression from the top of the other tree = 60°

We need to find the height of the other tree.

Let's assume the height of the other tree as 'h' metres.

To solve this problem, we can use the concept of trigonometry.

Using Trigonometry:
1. Tangent of an angle is defined as the ratio of the opposite side to the adjacent side.
2. Height of a tree is the opposite side and distance between the trees is the adjacent side.
3. Therefore, we can use the tangent of the angle of depression to calculate the height of the tree.

Calculating the height of the first tree:
Given:
- Angle of depression from the top of the tree with height 200 metres = 45°

Using the tangent formula:
tan(45°) = Opposite Side / Adjacent Side
tan(45°) = 200 / 400
1 = 200 / 400
200 = 400

Hence, the height of the first tree is 200 metres.

Calculating the height of the second tree:
Given:
- Angle of depression from the top of the other tree = 60°

Using the tangent formula:
tan(60°) = Opposite Side / Adjacent Side
tan(60°) = h / 400
√3 = h / 400
h = √3 * 400
h = 200√3

Hence, the height of the second tree is 200√3 metres.

Therefore, the correct answer is option 'B' - 200√3.
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Two trees are standing along the opposite sides of a road. The distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?a)200b)200√3c)100√3d)250Correct answer is option 'B'. Can you explain this answer?
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Two trees are standing along the opposite sides of a road. The distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?a)200b)200√3c)100√3d)250Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two trees are standing along the opposite sides of a road. The distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?a)200b)200√3c)100√3d)250Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trees are standing along the opposite sides of a road. The distance between the two trees is 400 metres. There is a point on the road between the trees. The angles of depression of the point from the top of the trees are 45° and 60°. If the height of the tree which makes 45° angle is 200 metres, then what will be the height (in metres) of the other tree?a)200b)200√3c)100√3d)250Correct answer is option 'B'. Can you explain this answer?.
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