Question 1175415
a surveyor is measuring the distance across the small lake
 he has set up his transit on one side of the lake 80 feet from a pilling that is directly across from a pier on the other side of the lake from his transit
 the angle between the pilling and the pier is 35
:
This forms a right triangle, The distance across the lake is the side (s) opposite the angle given, side adjacent = 80
Use the tangent of 35
tan(35) = {{{s/80}}}
s = 80 * tan(35)
s = 56 ft across the lake