Question 1058385
Draw this and the angle from the boat to the cliff is 30 degrees.
The other boat has an angle of 45 degrees.
The cliff height is x
the distance to the first boat is y, to the second boat y+100
tangent 30=x/(y+100)
tangent 45=x/y
Therefore, y=x, since tan 45=1
sqrt(3)/3=x/(x+100) substituting and knowing tan 30 is sqrt (3)/3
0.5774(x+100)=x
0.5774x+57.74=x
57.74=0.4226 x
dividing out
136.63 or 136 feet.