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BITSAT2022MathematicsHeights and DistancesActual

Let be the solution of 16^ ^2 +16^ ^2 =10 in (0, 4 ) . If the shadow of a vertical pole is 1 3 of its height, then the altitude of the sun is

Options

  1. A2
  2. B2
  3. C3

Correct answer

C. 3

Step-by-step solution

We have, 16^ ^2 +16^ ^2 =10 16^ ^2 +16^ 1- ^2 =10 x+ 16 x =10 , where x=16^ ^2 x^2-10 x+16=0 x=2,8 16^ ^2 =2,8 2^ 4 ^2 =2,2^3 4 ^2 =1,3 ^2 = 1 4 , ( 3 2 )^2 = 1 2 , 3 2 = 6 , 3 Let the altitude of the sun be . Then, aligned & & & = h h / 3 = 3 & & & = / 3 =2 aligned

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