NDA2022MathematicsHeights and DistancesActual
Paragraph: There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x y) . The angles of elevation of the top of the tower from P and Q are 15^ and 75^ respectively. Question: What is the length of the tower?
Options
- Ax-y 2 3 1+ 2+ 3 (x+y) x-y ^2
- Bx-y 2 3 1+ 2- 3 (x+y) x-y ^2
- Cx-y 4 3 1+ 2+ 3 (x+y) x-y ^2
- Dx-y 4 3 1+ 2- 3 (x+y) x-y ^2
Correct answer
B. x-y 2 3 1+ 2- 3 (x+y) x-y ^2
Step-by-step solution
aligned & Length of the tower, A B= h^2+z^2 & = (x-y)^2 12 + ( 2 3 (x-y)-3(x+y) 6 )^2 & = (x-y) 2 3 1+ (2- 3 (x+y) x-y )^2 aligned