As the captain looks back toward the harbor, he can see that two lights that are 22miles apart. He knows this distance from charts. He is due south of one of the lights and the other light is 30°from his current location. How far is he from both lights?
As the captain looks back toward the harbor, he can see that two lights that are 22miles apart. He knows this distance from charts. He is due south of one of the lights and the other light is 30°from his current location. How far is he from both lights?
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As the captain looks back toward the harbor, he can see that two lights that are 22miles apart. He knows this distance from charts. He is due south of one of the lights and the other light is 30°from his current location. How far is he from both lights?
Expert Solution
Step 1
To determine the distance of the two lights form the two lights, let the captain be at a point F which is due south of the first light C and let the other light be located at point E 22 miles from C which is located at from the current location of the captain, forming a right angled triangle as shown in the figure;
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