Question

two people are standing 100m apart on the bank of a river that flows due east. if a rock on the opposite bank is along a bearing of N 25 degrees East from one person and along a bearing of N 15 dEGREES wEST FROM the other person, what is the width of the river?

Answer 1

Answer:160.88 m

Step-by-step explanation:

Given

Distance Between two person is 100

i.e.
`p+q=100`

Let W be the width of River

From First Triangle

`p=W\tan 24`

From Second Triangle

`q=W\tan 10`

`W\tan 24+W\tan 10=100`

`W(\tan 24+\tan 10)=100`

`W=(100)/(0.6215)`

`W=160.88 m`