Question

A pilpt of helicopter ,at an altitude of 1200m finds that two ships are sailing towards ot in the same direction.The angles of depression of the ships are observed from the helicopter are 60° and 45° respectively.Fimd the distance between the two ships

Answer 1

Answer:

508 metres

Step-by-step explanation:

let AB be the height at which the pilot is flying

AB=1200 m

From the information, we construct a diagram as given

here,

x=distance between ships

Now,in triangle ABC

tan60°=AB÷BC

root (3)=1200÷y

y=1200÷root (3)

y=400×root (3)---------------A

In triangle ABD

tan45°=AB÷BD

1=1200÷x+y

x+y=1200

x=1200-y

(we have y=400×root (3))

x=1200-400×root (3)

(we know that root (3)=1.73)

x=1200-400×1.73

x=1200-692

x=508 metres

Therefore, the distance between ships is 508 metres

Answer 2

Answer:

answer is in the attachment