Question
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
BITSAT
Mathematics
Heights and Distances
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A.
- B. 2
- C. 2
- D. 3
Answer
C. 2
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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