# 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.

1
Log in to add a comment

Log in to add a comment

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