Question

33. Light house is a tower with a bright light at the top. Light house serve as a navigational aid and to warn boats orships about dangerous area.stimoStudy the diagram and answer the questions based on it.30-452204Angle of depressionLight houseDIf one ship is exactly behind the other on the same side of the light-house, find the distance Don the same side of the light-house, find the distance between the two ships.(Use 3 = 1.73)​

Answer 1

Answer:

hey mate here is ur answer

x=70(√3+1)

Answer 2

CONCEPT: Trigonometry is derived from the Greek word trigon and metron means measuring the sides of a triangle.

GIVEN: AB = Height of light house

BD = Distance of second ship from light house

BC = Distance of first ship from light house

45° = Angle of depression of first ship

30°= Angle of depression of second ship

FIND: CD = Distance between two ships

SOLUTION: In ∆ABC

$\tan(45) = \frac{ab}{bc}$

$ab = bc$

In ∆ABD

$\tan(30) = \frac{ab}{bd}$

$\frac{1}{ \sqrt{3} } = \frac{ab}{bc + cd}$

$bc + cd = \sqrt{3} ab$

$cd = ( \sqrt{3} - 1)ab$

$cd = (1.73 - 1)75$

$cd = 54.75$

Hence the distance between the two ships is 54.75cm.

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