Question 1075710
Question #1:


2000 foot height to the observation point is vertical leg of a right triangle.
distance d, hypotenuse, distance from boat to observation point.  Angle of elevation from the boat to observation point on top of hill, 30 degrees.


{{{2000/d=sin(30)}}}


{{{d/2000=1/sin(30)}}}


{{{d=2000/(1/2)}}}

{{{highlight(d=4000)}}}



---------below here was wrong-- switched leg and hypotenuse by mistake-------------------
{{{cross(d/2000=sin(30))}}}

{{{cross(d=2000*sin(30))}}}

{{{cross(d=2000*(1/2))}}}

{{{cross(d=1000)}}}