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AP EAMCET2002MathematicsHeights and Distances

From a point on the level ground, the angle of elevation of the top of a pole is 30^ on moving 20 metres nearer, the angle of elevation is 45^ . Then, the height of the pole (in metres), is

Options

  1. A10( 3 -1)
  2. B10( 3 +1)
  3. C15
  4. D20

Correct answer

B. 10( 3 +1)

Step-by-step solution

In B D A , 45^ = h x h=x In B A C , aligned 30^ & = h 20+x 1 3 & = x 20+x 20+x & = 3 x x= 20 3 -1 & = 20 2 ( 3 +1) & =10( 3 +1) m aligned [from Eq. (i)]

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