Question
Quantitative Ability and Data Interpretation Question on Trigonometry
A boat, stationed at the North of a lighthouse, is making an angle of 30° with the top of the lighthouse. Simultaneously, another boat, stationed at the East of the same lighthouse, is making an angle of 45° with the top of the lighthouse. What will be the shortest distance between these two boats? The height of the lighthouse is 300 feet. Assume both the boats are of negligible dimensions.
A
300 feet
B
600/√3 feet
C
300√3 feet
D
600 feet
E
None of the above
Answer
600 feet
Explanation
Solution
The correct option is (D) : 600 feet