Hello, suzdisp!

Did you make a sketch?

Two lookout stations, which are 25 miles apart along a north-south costline,

spot an approaching yacht.

One lookout station finds the direction to the yacht at N33°E,

and the other station finds the direction of the yacht at S62°E.

**(1)** How far is the yacht from each lookout station?

**(2)** How far is the yacht from the coast? Code:

- B*
: | *
: | 62° * a
: | *
: | *
: | *
: D* - - - - - - 85° *C
: | *
25 | *
: | *
: | *
: | * b
: | *
: |33°*
: | *
- A*

Since , then: .

Law of Sines: .

. . **(1)**

Law of Sines: .

. . **(1)**

In right triangle

Therefore: . **(2)**