# Math Help - True bearing question

1. ## True bearing question

A bridge 11 km long connects city T in the south and city K in the north. The true bearing of a ship S is 120o from T. The distance between the ship S and T is 15 km. Find the distance between the ship S and K. [Answer correct to 1 decimal place]

This question is confusing me...any help please would be appreciated.

2. Originally Posted by Joel
A bridge 11 km long connects city T in the south and city K in the north. The true bearing of a ship S is 120o from T. The distance between the ship S and T is 15 km. Find the distance between the ship S and K. [Answer correct to 1 decimal place]

This question is confusing me...any help please would be appreciated.
make a sketch and use the law of cosines.

$t^2 = s^2 + k^2 - 2sk\cos{T}$