The angle of elevation of the top of a tower from a certain point is 30anddeg;. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15anddeg;. The height of the tower is:a)64.2 mb)62.2 mc)52.2 md)54.6 mCorrect answer is option 'D'. Can you explain this answer?

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The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:

a)
64.2 m
b)
62.2 m
c)
52.2 m
d)
54.6 m

Correct answer is option 'D'. Can you explain this answer?

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Verified Answer

The angle of elevation of the top of a tower from a certain point is 3...

Let DC be the tower and A and B be the positions of the observer such that AB = 40 m
We have

DAC = 30°,

DBC = 45°
Let DC = h

We know that, AB = (AC - BC)
=> 40 = (AC - BC)
=> 40=(h√3−h)40= [∵ from (1) & (2)]
=>40=h(√3−1)

=20(1.73+1)=20×2.73=54.6 m

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The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:a)64.2 mb)62.2 mc)52.2 md)54.6 mCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:a)64.2 mb)62.2 mc)52.2 md)54.6 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:a)64.2 mb)62.2 mc)52.2 md)54.6 mCorrect answer is option 'D'. Can you explain this answer?.

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