Question

Two ships are opposite a lighthouse such that all three of them are collie Zār. The angles of depression of the two ships from the top of the light house 30º and 60º. If the ships are   230 √ 3m apart, then find the height of the light house (in m).

A 154.6m Correct Answer Incorrect Answer
B 142.4m Correct Answer Incorrect Answer
C 172.5m Correct Answer Incorrect Answer
D 162.8m Correct Answer Incorrect Answer

Solution

As we know AD/DB=3/1 Then- 4=230√3 DB=1=230√3 /4 Now – Tan 60° =CD/DB √3 =CD /DB CD=√3 ×DB =√3×230√3/4 230×3/4=690/4 =172.5m

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