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.

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?