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.
Bhupal said:
1 decade ago
From triangle bca we know only value of ba & bca cone and we find ac i.e. base from trigonmetric formula tan is best because tan=vertical/base.
Akshay said:
7 years ago
Why two sides ac and ad are taken as opposite sides in a lighthouse although it is not given we can take another side also if we think in 3D?
Anjum shaikh said:
10 years ago
Can you give me trigonometry formula which are use to solve height and length of problem?
How can we solve problem in less time logically?
How can we solve problem in less time logically?
Shubham said:
7 years ago
Tan = perpendicular/Base, the value of perpendicular has been given and we have to find the base, that's why the tan is used.
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
Yash said:
8 years ago
We can find AD, IF we use Tan then only we find AD. So we use tan. By using sin and cos also we can solve.
Periyasamy said:
1 decade ago
Can you please give us notes of trignometric formulas which are used to solve height and length problems?
Sanjana said:
1 decade ago
We can find square roots of any numbers by a special type of division or a method known as column method.
Soraj said:
8 years ago
How to proved AB*3=1003?
we know AB Is 100,
So I put the AB*3=100*3=300,
But why this is 1003.
we know AB Is 100,
So I put the AB*3=100*3=300,
But why this is 1003.
Jeni said:
8 years ago
How the value of AD is said to be 100?, It is not given question, but it is said to be 100? why?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers