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The angle of elevation of a building from a measuring instrument placed on the ground…

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?
  • A.
    (frac{20}{√3})m
  • B.
    (frac{40}{√3})m
  • C.
    20√3m
  • D.
    40√3m
Correct Answer: Option D
Explanation

(frac{40}{x}) = tan 30o
x = (frac{40}{tan 36})
= (frac{40}{1sqrt{3}})
= 40√3m

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