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 8 of 11.

Yashish yenduva said:   1 year ago
By using tan we can easily get solution.
(4)

Ramya said:   7 years ago
Please explain me the solution clearly.

Kumar said:   4 years ago
For triangle, we use tan mostly. right.
(3)

Pradeep K Kerketta said:   1 decade ago
How can you manually calculate root 3?

Manisha said:   1 decade ago
Why we taken only tan? please explain.

Velraj vj.k said:   5 years ago
How to find √3? Please explain.

Amol meher said:   8 years ago
Why are uesd tan? Please explain me.

Sandy said:   9 years ago
How to take root 3? Please explain.

Rushikesh said:   7 years ago
How to find out the 100 * √3?

Bheemu said:   2 years ago
why tan 30°? Please explain me.
(13)


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