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Question : A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30o. At what approximate distance (in metres) is the person standing away from the building?

Option 1: 1000

Option 2: 936

Option 3: 1732

Option 4: 1542


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 1732


Solution :
Given:
AB = Height of the building = 1000 metres
Let the distance of the man from the building, BC be $x$.
From $\triangle$ ABC, we get
$\tan 30° = \frac{AB}{BC}$
⇒ $\frac{1}{\sqrt{3}}= \frac{1000}{x}$
⇒ $ x = 1000\sqrt{3}$
⇒ $x$ = 1000 × 1.732
So, the distance of the man from the building is 1732 metres.
Hence, the correct answer is 1732.

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