A ship sails from port A to port B, 30 km away on a bearing of 060^. It then sails to port C, 40 km away on a bearing of 150^. Find the distance between port A and port C.

Question

Asked on May 10, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-05-10T20:01:10.058Z

Let's solve this bearing problem step-by-step. Part (i): Calculate the distance between city B and city C to two decimal places. Step 1: Determine the angle CAB. The bearing of B from A is 150^. The bearing of A from C is 015^. To find the bearing of C from A, we add 180^ to the bearing of A from C because 015^ < 180^. Bearing of C from A = 015^ + 180^ = 195^. The angle CAB is the difference between the bearing of C from A and the bearing of

Accepted Answer · 2026-05-10T20:01:10.058Z

Let's solve this bearing problem step-by-step. Part (i): Calculate the distance between city B and city C to two decimal places. Step 1: Determine the angle CAB. The bearing of B from A is 150^. The bearing of A from C is 015^. To find the bearing of C from A, we add 180^ to the bearing of A from C because 015^ < 180^. Bearing of C from A = 015^ + 180^ = 195^. The angle CAB is the difference between the bearing of C from A and the bearing of

A ship sails from port A to port B, 30 km away on a bearing of 060^. It then sails to port C, 40 km away on a bearing of 150^. Find the distance between port A and port C.

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A ship sails from port A to port B, 30 km away on a bearing of 060^. It then sails to port C, 40 km away on a bearing of 150^. Find the distance between port A and port C.

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