What is the distance AB across the lake using given data?

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xyz_1965
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Determine the distance AB across a lake using the following data: AC = 400 m, angle C = 90°, and angle CAB = 40°. Round the answer to the nearest meter.

Solution:

I say AB = 400/[Cos 40] = 522 meters

I then know the distance AB across the lake = 522 meters.

I timed myself for this one. I did it in 5 minutes.

Is any of this right?
 
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Yes, that is correct. Well done!