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CBSE Class 10 Answered

the angle of depression from the top of a lighthouse of height h on either sides of sea on boats is 30° & 60° then find distance between boats.
Asked by praveengandhi837 | 23 Jan, 2019, 05:54: PM
answered-by-expert Expert Answer

Let AB be the lighthouse of height h metres.

Let AC = x and AD = y.

In triangle CAB,

AB/AC = tan 30

tan 30 = h / x

x = h / tan 30 (i)

In triangle DAB,

h / y = tan 60

 y = h/ tan 60 (ii)

Distance between the ships

= x + y

= (h/ tan 30) + (h/ tan 60)

 
Answered by Science Mate | 23 Jan, 2019, 08:35: PM

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