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 4 of 11.
P.Dhana lakshmi said:
9 years ago
Nice explanations, Thank you all.
AKASH RAI said:
9 years ago
Then, AB = 100 m, ACB = 30° and ADB = 45°.
AB = tan 30° = 1, AC = AB x 3 = 1003 m.
AC = 1003 m.
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.
That Proved.
AB = tan 30° = 1, AC = AB x 3 = 1003 m.
AC = 1003 m.
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.
That Proved.
Kavya sreeram said:
9 years ago
Tan 30 is 1/√3 right? then in all problem, it is 1, how come?
Radhika Mane said:
9 years ago
How to take root 3 value?
Ram said:
9 years ago
I do not understand. Please, anyone, give a simple explanation.
Akhilesh Agrahari said:
9 years ago
By taking 100 common in 100 and 100root3.
Sandy said:
9 years ago
How to take root 3? Please explain.
Babu said:
9 years ago
What do mean by sailing?
Imtiyaz said:
9 years ago
How to find the root of 3?
Pranso said:
9 years ago
Great explanation, thank you so much for all your answers.
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