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A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot?
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A tower is 100√3 high find the angle of elevation if its top from poin...
Given:
Height of tower, AB = 100√3 m
Distance from the foot of the tower to the point, BC = 100 m
Find:
Angle of elevation of the top of the tower from the point C
Explanation:
Step 1: Draw a diagram
Draw a right-angled triangle ABC where:
- A is the top of the tower
- B is the foot of the tower
- C is the point from where the angle of elevation is to be measured
Step 2: Use trigonometry
In triangle ABC, we can use trigonometry to find the angle of elevation.
tan(angle of elevation) = Opposite/Adjacent
tan(angle of elevation) = AB/BC
tan(angle of elevation) = (100√3)/100
tan(angle of elevation) = √3
angle of elevation = tan^(-1)(√3)
angle of elevation ≈ 60 degrees
Step 3: Conclusion
The angle of elevation of the top of the tower from the point is approximately 60 degrees.
Given:
Height of tower, AB = 100√3 m
Distance from the foot of the tower to the point, BC = 100 m
Find:
Angle of elevation of the top of the tower from the point C
Explanation:
Step 1: Draw a diagram
Draw a right-angled triangle ABC where:
- A is the top of the tower
- B is the foot of the tower
- C is the point from where the angle of elevation is to be measured
Step 2: Use trigonometry
In triangle ABC, we can use trigonometry to find the angle of elevation.
tan(angle of elevation) = Opposite/Adjacent
tan(angle of elevation) = AB/BC
tan(angle of elevation) = (100√3)/100
tan(angle of elevation) = √3
angle of elevation = tan^(-1)(√3)
angle of elevation ≈ 60 degrees
Step 3: Conclusion
The angle of elevation of the top of the tower from the point is approximately 60 degrees.
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A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot?
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A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot?.
A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tower is 100√3 high find the angle of elevation if its top from point is 100 meter away from its foot?.
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