A fire in a building B …
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Hans Raj 6 years, 5 months ago
let AB = building on fire
PQ are fire stations at distance =20 km
let PB=x
PBQ are on a straight line
in rt tri PAB tan 60=AB/PB......i
in rt tri QBA tan 45=AB/QB ..... ii
root 3 x PB=AB
AB=QB
root 3 =QB/PB=QP - BP/BP=20 - x/x
20 -x = x root3
20=x(root3+1)
x=20/root3+1=20/2.732=7.32 km
BP=7.32
QB=20 - 7.32=12.68 km
building B is near P fire station at a distance of 7.32 km
hence fire station P has to send his team and travel a distance of 7.32 km
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