Question

Two boats 70 metres apart are on opposite side of a lighthouse from the two boats are 71.6° and 45°.Find the height of the lighthouse (tan 71.6°=3)

Answer 1

tan 71.6 = h/x = 3
tan 45 = h / (70-x) = 1
so
x = h/3
and
70 - x = h
so
70 - h/3 = h = 3 h/3
70 = 4 h/3
h = 210 / 4 = 52.5

Answer 2

Come help!! me at mate my teacher is depriving me of my 4 marks because of this same quesion