Question

As observer from the top of a 100 m high light house from the sea level , the angle of depression of two ship are 30 and 45 . If one ship is exactly behind the other on the same side of the light house , find the distance between the two ship . (USE \sqrt{x} 3= 1.732

Answer 1

Answer:

43.27m

Step-by-step explanation:

Find the distance from the foot of the lighthouse to the first ship:

tan (30) = distance/100

distance = 100 tan(30)

distance = 100√3/3

distance = 57.73 m

Find the distance from the foot of the lighthouse to the second ship:

tan (45) = distance/100

distance = 100 tan(45)

distance = 100 m

Find the distance between the two ships:

Distance =  100 -  57.73  = 42.27 m

Answer:  42.27 m