Math, asked by abdulsattarkhan, 1 year ago

An aeroplane is flying at a height of 300m above the ground. Flying at this height the angles of depression
(April, 2017)
from the aeroplane of two points on both banks of a river in opposite directions are 45° and 60° respectively.
Find the width of the river. [Use V3 =1.732]
(April, 2017)​

Answers

Answered by abhi178
0

width of river = 473.2 m

first of all, let's draw a rough diagram using given statement.

see figure, here A is the position of aeroplane such that AD = 300m and angles made at observations points B and C are 60° and 45° respectively.

we have to find width of bank of river i.e., BC

from ∆ABD,

⇒tan60° = AD/BD

⇒ BD = AD/tan60° = 300/√3 = 100√3 m

again from ∆ACD,

⇒tan45° = AD/CD

⇒CD = AD/tan45° = 300/(1) = 300m

then, BC = BD + DC = 100√3 m + 300 m

as given, √3 = 1.732

so, BC = 173.2 + 300 = 473.2 m

also read similar questions : An aeroplane is flying at a height of 300m above the ground. Flying at this height,the angle of depression from the aero...

https://brainly.in/question/1881325

An aeroplane at an altitude of 200m observes angles of depression of opposite points on the two banks of the river to be...

https://brainly.in/question/3034225

Attachments:
Similar questions