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NDA 2016 Maths · Mathematics · Heights and Distances · easy

A kite is flying at the end of a taut string 100 m long, inclined at 60^° to the horizontal ground. The height of the kite above the ground is

Single correct option

A kite is flying at the end of a taut string 100100 m long, inclined at 60∘60^\circ to the horizontal ground. The height of the kite above the ground is
  1. A. 50350\sqrt3 m
  2. B. 5050 m
  3. C. 1003\dfrac{100}{\sqrt3} m
  4. D. 1003100\sqrt3 m
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Answer: (A) 50350\sqrt3 m

The string is the hypotenuse, so the height is 100sin⁡60∘=100×32=503100\sin60^\circ=100\times\dfrac{\sqrt3}2=50\sqrt3 m. Using cos⁡60∘\cos60^\circ gives 50 m, which is the horizontal distance, a frequent mix-up.
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Original question written in the NDA 2016 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake