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

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

$q=W\tan 10$

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

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

$W=\frac{100}{0.6215}$

$W=160.88 m$