an aeroplane at an altitude of 200 metres observes the angle of depression of opposite points on the two banks of a river to be 45 and 60 . find the width of the river
Answers
Answered by
6
Step-by-step explanation:
I think, this is the answer.
Attachments:
Answered by
5
Answer:
widht of river is 84.39 metres
Step-by-step explanation:
let us suppose that the height of aeroplane ia AB=200m
let us suppose that the widht of river is(y)m .
In triangle ADB
tan45 = 200/x
1= 200/x
x=200m
In triangle ACB
tan 60 =200/BC
root 3 =200/BC
BC=200/ROOT3
THEN ,
y=x-BC
y=200-200/root3
y= 200(1-1/root3)
so,
y=84.39metres
Similar questions