12. Two ships are sailing in the sea on either side of the light house, the angle of depression of the
two ships as observed from the top of the light house are 60 degree and 45 degree . the distance between ships is 200 ( root 3 +1 ) by root 3 find the height of the light house
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ੲਖਖਨਪਘਨਦਧਦਧਗਨਝਗਪਖੳੳਛਕੇਕੈਔਢੇਣਦਪਛਫੇਟਬਲ਼ਠਜਕੌਏਕੇਟੈਪਤਠਰਡਠਵਵੌਔਖਝੂਟਝੌ
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Let the ships be at A and B and the top of the light house be C as shown in the figure.
The distance between the ships id AB
AB = AO+OB
given that OC = 200m
tan45 = OC/OB
⇒ 1 = 200/OB
⇒OB = 200m
tan 60 = OC/AO
⇒√3 = 200/AO
⇒AO = 200/√3 = 115.47m
AB = AO+OB = 200+115.47 = 315.47m
Distance between ships is 315.47m
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