Question

The diagram below, not drawn to scale, shows two ships R and S at anchor on a lake of calm water. FT is a vertical tower. FSR is a straight line and RS = 150m. The angles of elevation of T, the top tower, from R and S are 22 degrees and 40 degrees respectively. F is the foot of the tower. What is the Length of ST

Answer 1

Answer:

246.91

Step-by-step explanation:

sin40=ft / st

ft = st×sin40= 0.643×st

tan 22 = ft/(st+150) =0.643×st/(st+150)

0.4×(st+150)=0.643st

0.4×st +150×0.4 = 0.643st

0.243×st=60

st=246.91

hope this helps