Math, asked by dhaval4568, 1 year ago

An aeroplane is flying at a height of 300m above the ground. Flying at this height,the angle of depression from the aeroplane of two points on banks of a river in opposite directions are 40° and60° respectively. Find the width of the river? (root3=1.732)

Answers

Answered by mysticd
124

Solution:

Let P be the position of the aeroplane and let A and B be

two points on the two banks of a river such that the angle of depression at A and B are 60°

and 45° respectively.

Let AM = x m and

BM = y m.

We have to find ,

Width of the river AB .

i) In APM, we have

tan60° = PM/AM

=> 3 = 300/x

=> x = 300/3

Rationalising the denominator, we get

= [(300×3)/(3×3)

= 3003/3

= 100√3

= 100×1.732

= 173.2 m ----(1)

ii) In BPM, we have

tan45° = PM/BM

=> 1 = 300/y

=> y = 300 m----(2)

From equations (1) & (2) , we get

AB = x+y

= 173.2 + 300

= 473.2 m

Therefore,

The width of the river = 473.2 m

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Answered by anjiisuhag
34

Step-by-step explanation:

here is ur answer

hope it will help u

thanks

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