28. A baseball groundsman is preparing the
field for the big game at the weekend. The
Baseball Field
baseball field has side foul lines (fences)
AB and AC, which makes the outfield. The
Outfield
ground as shown is in a shape of triangle
plus semi-circle. The pitcher area is shown
in APRQ where P and Q are two infield
areas points corner on the lines AB and
AC. The dimensions need to be accurate B
AP _ PQ
for the big game and hence –
AB BC
We have AP = 6x cm, AB = (3x + 5)
cm, PQ = x cm and BC = 1 cm.
АРРО
(1) To assist the groundsman, first transform the relation =
into a quadratic
equation in x;
(ii) Now, solve the equation, obtained in (i), for x;
(iii) Finally calculate the length of PB.
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Answer:
Quadratic Equation :-x²-10x=0
value of x=10
PB=4cm
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