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 30°. At what approximate distance (in metres) is the person standing away from the building.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1732.
Given that
A person standing at a distance looks at a building with a height of 1000 meters.
The angle between the top of the building and the ground is 30°
Let The distance the person standing away from the building be x meters
According to the question
⇒ tan 30° = 1000/x
⇒ 1/√3 = 1000/x
⇒ x = 1000 × √3 = 1000 × 1.732 = 1732 meters