Question

from a top of the light house 200m high the angle depression of two ship which are due to the south of the observed are 60°and 30° find the distance between the two ship​

Answer 1

Answer:

Let D and C be given ships and AB be the lighthouse.

Let Height of light house is AB=h

In △BAC, we have:

tan45∘=BCAB

1=BCAB ⟹AB=BC

so, BC=h                 ... (1)

 

In triangle ADB,

tan30∘=BDAB

31=BC+200h

31=h+200h            [Using (1)]

h+200=h3

h(3−1)=200

h=3−1200 m

OR,

By rationalization and simplification, we get,

h=100(3+1) m