A raft 36 feet from the shore is tied by a rope that runs pe

A raft 36 feet from the shore is tied by a rope that runs perpendicular to the shore line. Madison wants to tie a second line from point B to the raft, where the angle from B to the corner of the raft is 58 degrees °. If 5 feet at each end are required to tie the line down, how long must the line be?

Solution

The sine of an angle is the ratio of the opposite side to the hypotenuse of the right triangle in which that angle is found., where \"h\" represents the length of the hypotenuse,
.. 36/h = sin(58°)
.. 36= h*sin(58°)
.. 36/sin(58°) = h
h =36/ 0.848048 = 42.450

h 42.5 feet

The line must be 52 long.