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To reach a place 10^(@) South of West, ...

To reach a place `10^(@)` South of West, in which direction ship should be steered if the declination at place is `18^(@)` West of North:

A

`90^(@)`

B

`82^(@)`

C

`70^(@)`

D

`63^(@)`

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The correct Answer is:
To solve the problem, we need to determine the direction in which the ship should be steered to reach a place that is 10 degrees South of West, taking into account the declination of 18 degrees West of North. ### Step-by-Step Solution: 1. **Understand the Directions**: - North (N) is at 0 degrees. - East (E) is at 90 degrees. - South (S) is at 180 degrees. - West (W) is at 270 degrees. - "10 degrees South of West" means we start from West (270 degrees) and move 10 degrees towards South. Therefore, the angle is: \[ 270^\circ + 10^\circ = 280^\circ \] 2. **Consider the Declination**: - The declination is given as 18 degrees West of North. This means that the magnetic North is shifted 18 degrees towards the West. Therefore, the magnetic North is at: \[ 0^\circ - 18^\circ = -18^\circ \text{ (or equivalently, } 342^\circ \text{)} \] 3. **Calculate the Required Steering Direction**: - To find the direction in which the ship should be steered, we need to adjust the angle we calculated for "10 degrees South of West" (280 degrees) by the declination (18 degrees). Since the declination is West of North, we add it to the angle: \[ \text{Steering Direction} = 280^\circ + 18^\circ = 298^\circ \] 4. **Final Direction**: - The direction in which the ship should be steered is 298 degrees. ### Summary: The ship should be steered towards 298 degrees to reach the destination that is 10 degrees South of West, considering the declination of 18 degrees West of North.

To solve the problem, we need to determine the direction in which the ship should be steered to reach a place that is 10 degrees South of West, taking into account the declination of 18 degrees West of North. ### Step-by-Step Solution: 1. **Understand the Directions**: - North (N) is at 0 degrees. - East (E) is at 90 degrees. - South (S) is at 180 degrees. ...
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