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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?

Respuesta :

Answer:160.88 m

Explanation:

Given

Distance Between two person is 100

i.e. [tex]p+q=100[/tex]

Let W be the width of River

From First Triangle

[tex]p=W\tan 24[/tex]

From Second Triangle

[tex]q=W\tan 10[/tex]

[tex]W\tan 24+W\tan 10=100[/tex]

[tex]W(\tan 24+\tan 10)=100[/tex]

[tex]W=\frac{100}{0.6215}[/tex]

[tex]W=160.88 m[/tex]

       

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