Aptitude - Height and Distance - Discussion
Discussion Forum : Height and Distance - General Questions (Q.No. 1)
1.
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Answer: Option
Explanation:
Let AB be the lighthouse and C and D be the positions of the ships.
Then, AB = 100 m, 
ACB = 30° and ADB = 45°.
| AB | = tan 30° = | 1 |  AC = AB x 3 = 1003 m. |
| AC | 3 |
| AB | = tan 45° = 1 AD = AB = 100 m. |
| AD |
 CD = (AC + AD) |
= (1003 + 100) m |
| = 100(3 + 1) | |
| = (100 x 2.73) m | |
| = 273 m. |
Discussion:
104 comments Page 5 of 11.
ROHIT said:
9 years ago
I don't understand the answer. Please anyone help me to get it.
Abijith said:
9 years ago
What is root 3 value?
Vino said:
9 years ago
The value of √ 3 is 1.732.
MANI said:
9 years ago
How can you take √3 is 1.732? Can anyone explain?
Masthan shaik said:
9 years ago
√3 means the square of 3.
It calculated as 1.732. Because two same numbers give their square root.
i;e 2 * 2 = 4,3 * 3 = 9 just like this 1.732 * 1.732 = 2.999824 it is nearest to 3 then 1.732 is square root of 3.
It calculated as 1.732. Because two same numbers give their square root.
i;e 2 * 2 = 4,3 * 3 = 9 just like this 1.732 * 1.732 = 2.999824 it is nearest to 3 then 1.732 is square root of 3.
Gaurav Radheshyam Jaiswal said:
8 years ago
Why are used tan only?
Amol meher said:
8 years ago
Why are uesd tan? Please explain me.
Preetam said:
8 years ago
We have taken tan. Instead of sin or cos because perpendicular is given and we need to find the base, so tan is equal to perpendicular/base. So for that, we need a tan.
Swapnil said:
8 years ago
How to find root3 value, please explain in detail. How to come 1.732?
Kumar said:
8 years ago
How can you get AB/AC=tan 30*=1/√ 3?
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