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 3 of 11.
Jambay said:
5 years ago
How come √3 + 1?
(1)
Anjali tevari said:
5 years ago
How to find √3 value?
(1)
Raksha said:
1 year ago
Why are we using tan 30°? Please explain to me.
(1)
Pooja said:
7 months ago
Simple explanation:
The formula of tan; θ is,
tan θ = opposite side/adjacent side
So, we have angles 30° and 45° and the opposite side 100 m.
So, we can find an adjacent side.
The formula of tan; θ is,
tan θ = opposite side/adjacent side
So, we have angles 30° and 45° and the opposite side 100 m.
So, we can find an adjacent side.
(1)
Sakshi said:
2 months ago
The right answer is 273m.
(1)
Ravi said:
1 decade ago
Why we take AB/AC, AB/AD?
Sam said:
1 decade ago
Just remember root3=1.73 and root2=1.41
we take ab/ac because we want to find ac and we only know ab thats it
we take ab/ac because we want to find ac and we only know ab thats it
Srikanth said:
1 decade ago
Why you taken Tan and why you not taken cos ?
Jowy said:
1 decade ago
The tan30 is root(3) divide by 3. So how did you get root(3) ?
Mouli said:
1 decade ago
I am not understand jowy said.
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