an aeroplane at an altitude of 300 m observer the angle of depression of opposite points on the two banks of a river to be 45 degree and 60 degree . find the with of the river.
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when an observer looks down the plane the angle of depression of two banks of a river is 60 and 45
Tan 60= root3/1=300/x
x root 3=300
x=300 / root3
x=300 root3/3 -------------RATIONALISING---------------(1)
tan 45=1/1=300/ D
300=D-----------------------------------------------(2)
width= x+D =>300+300 root3/3
taking LCM
900+300 root 3 all divided by 3 and this is the width of the river
please NOTE: couldnt find any symbols associated with roots so it is written in words
hope it 'll be help
Tan 60= root3/1=300/x
x root 3=300
x=300 / root3
x=300 root3/3 -------------RATIONALISING---------------(1)
tan 45=1/1=300/ D
300=D-----------------------------------------------(2)
width= x+D =>300+300 root3/3
taking LCM
900+300 root 3 all divided by 3 and this is the width of the river
please NOTE: couldnt find any symbols associated with roots so it is written in words
hope it 'll be help
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