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:
104 comments Page 6 of 11.

Manu said:   7 years ago
Why we are using tan instead of cos, can explain that?

SAI ESVAR said:   3 years ago
Can anyone explain this problem clearly to understand?
(11)

Gopi said:   6 years ago
Why should you took tan angle why not take sin angle?

Sathish said:   8 years ago
Why we use tan instead of cos, sin please explain?

Kolleru saikumar said:   8 years ago
The distance between 2 ships equal to 273 meters.

Yogita sable said:   7 years ago
I am not getting it. Please explain in details.

Garalapati bharadwaja said:   7 years ago
Why should we take only tan? Anyone explain me.

Divakar said:   6 years ago
What is the reason to take tan? Please tell me.

Raksha said:   1 year ago
Why are we using tan 30°? Please explain to me.
(1)

Amit m said:   8 years ago
Is there any other solutions that sin cos tan?


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