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## Homework Statement

As ship is anchor off a long straight shoreline that runs north and south. From twi observation points. 15 miles apart on shore the bearings of the ship are N 31 ° E and S 53 ° E. What is the shortest distance from the ship to the shore.

## Homework Equations

Sin θ Opp/ Hyp

Cos θ Adj/ Hyp

Tan θ Opp/ Adj

## The Attempt at a Solution

I have drawn out the photo and it has a base of 15 miles and degree angles of 31, 53 and 96

I assumed the fastest route was a straight line back and that would cut the triangle into 2 different right triangles with their bases added together = 15 miles. I am confused if I should do a system of linear equations to make the straight line back to the shore being the unknown but then we have even more unknowns so I have no idea what to do. Any guidance for me please :( Iv'e got the Exam tomorrow and this is the last part of the chapter and most of it is still unknown for me.