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A balloon moving in a straight line passes vertically above tw

Question

A balloon moving in a straight line passes vertically above two points $A$ and $B$ on horizontal plane $1000 f t$ apart. When above $A$ it has an altitude of $6 0^{0}$ as seen from $B$ . When above $B$ it has an altitude of $4 5^{0}$ as seen from $A$ . The distance of $B$ from the point at which it will touch the plane is

500 (3 + 1) f t

1500 f t

500 (3 + 3) f t

500 f t

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A balloon moving in a straight line passes vertically above two points

A

and

B

on horizontal plane

1000 f t

apart. When above

A

it has an altitude of

6 0^{0}

as seen from

B

. When above

B

it has an altitude of

4 5^{0}

as seen from

A

. The distance of

B

from the point at which it will touch the plane is

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Text solutionVerified

tan 60=

= \frac{h}{1000}

h = 10003

\frac{1000 3}{1000 + x} = \frac{1000}{4}

x^{2} = \frac{1000}{( 3 - 1 )}

x^{2} = 500 (3 + 1)

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Question Text	A balloon moving in a straight line passes vertically above two points $A$ and $B$ on horizontal plane $1000 f t$ apart. When above $A$ it has an altitude of $6 0^{0}$ as seen from $B$ . When above $B$ it has an altitude of $4 5^{0}$ as seen from $A$ . The distance of $B$ from the point at which it will touch the plane is
Answer Type	Text solution:1
Upvotes	150