Question

As observed from the top of a 100 m high lighthouse from the sea-level, the angles of depression of two ships are 30 degree and 45 degree . If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships

Answer 1

In ABC
tan45 =AB/BC
1=100/BC
BC=100
IN ABD
TAN30=AB/BD
1/ROOT3=100/100+CD
100+CD=100ROOT3
CD=100[ROOT3-1]

Answer 2

In ABC
tan45 =AB/BC
1=100/BC
BC=100
IN ABD
TAN30=AB/BD
1/ROOT3=100/100+CD
100+CD=100ROOT3
CD=100[ROOT3-1]