Question
Download Solution PDFA 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.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Height of building = 1000 m
Angle of elevation = 30°
Formula used:
Tan θ = perpendicular/Base = P/B
Tan 30° = 1/√3
Value of √3 = 1.732
Calculation:
Tan 30° = AB/BC
⇒ 1/√3 = 1000/BC
⇒ BC = 1000√3
⇒ BC = 1000 × 1.732 = 1732 m
∴ The correct answer is 1732 m.
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