Civil Engineering - Surveying - Discussion

Discussion Forum : Surveying - Section 6 (Q.No. 36)
36.
The bearing of C from A is N 30° E and from B, 50 metres east of A, is N 60° W. The departure of C from A is
50 m
50 3 m
25 3 m
25 m
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
17 comments Page 1 of 2.

Sayeed said:   3 years ago
@Pkota.

The departure formula is Lsin (θ).

John said:   4 years ago
According to me, The correct answer is 12.5m.
(3)

Pkota said:   4 years ago
When we draw triangle ABC, we found angle A,B,C 60,30,90 and AB=50m.

By applying geometry AC = ABcos60---> (1)
And departure of AC will be ACcos60 ---> (2).

From (1) put value of AC in (2) we got;
Departure of AC= (AB cos60) cos60.

50 x 0.5 x 0.5 = 12.5m.

Bhutan said:   4 years ago
I agree with @Philippines.

The Correct answer is 12.5 m.

Arun Kumar Sah said:   5 years ago
It is 50 sin 30 or 50 cos 60.

VimO said:   6 years ago
Right @@Philippines.

B is 50 m east of A, here departure of C with respect to A has to be found hence RB is 30, so sin 30 is correct, but L is not 50. L has to be distance AC, which is from calculation we get it as 25m.
(1)

Indu said:   6 years ago
Yes, the answer is 12.5 and I agree @Philippines.

Kcube said:   6 years ago
I agree with you @Philippines.

Philippines said:   6 years ago
I think the answer is 12.5m.

The given distance 50m is for line AB , so you cannot use it directly to solve for departure on line CA.

So using the triangle ABC , given the length of AB=50m and the angles can be computed using the given bearings. The side AC can be computed and AC=25m.

Then, the departure of line AC is 25sin(30)= 12.5m.
(5)

Tanmoy said:   7 years ago
L sin α = 50 * sin 30 = 25 m.
(1)


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