As observed from the top of a 80 m tall light house, the angles of depression of two
ships on the same side of the light house in horizontal line with its base are 30º and
40° respectively. Find the distance between the two ships. Give your answer correct to
the nearest metre.
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Step-by-step explanation:
in triangle ABC
Tan40= AB/BC
=BC= AB/Tan40
BC=80/0.8391 = 95.34 m
in triangle ABD, tan30=AB/BD
= BD = AB/tan 30˚ = 80/0.5774
=138.55 m
the distance between the two ships is
DC = BD – BC
= 138.55 – 95.34
= 43.21 m = 43 m
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