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:
173 m
200 m
273 m
300 m
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:
106 comments Page 10 of 11.

Rushikesh said:   8 years ago
How to find out the 100 * √3?

Ramya said:   8 years ago
Please explain me the solution clearly.

Mano said:   8 years ago
Why using tan here?

Yogita sable said:   8 years ago
I am not getting it. Please explain in details.

Garalapati bharadwaja said:   8 years ago
Why should we take only tan? Anyone explain me.

Naveen said:   8 years ago
Why should we take tan? Anyone explain me.

Kishor said:   8 years ago
How? tan 45° = 1
AD = AB = 100 m. How it is? Explain in detail.

Divakar said:   7 years ago
What is the reason to take tan? Please tell me.

Mrinayak said:   7 years ago
How to find the √3 value? Please explain the process.

Likitha said:   7 years ago
Thanks all for explaining clearly.


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