Curt needs to hit his next shot close to the pin, which is surrounded by water. There is little room for error, and he doesn't know how far his ball is from the pin.
Thankfully, Curt has a clever caddy who takes the following actions:
walks 50 meters away from the ball
measures the angle between Curt's ball and the pin
instructs Curt to measure the angle between him (the caddy) and the pin
With this information (shown below), the caddy determines the distance from the ball to the pin.
Assuming Curt's clever caddy's calculations are correct, how far is the ball from the pin?
Do not round during your calculations. Round your final answer to the nearest meter.