bionicboy03120440
15.04.2020 •
Mathematics
Carl spies a potential Sasquatch nest at a bearing of N12°E and radios Jeff, who is at a bearing of N49°E from Carl's position. From Jeff's position, the nest is at a bearing of S70°W.
a. If Jeff and Carl are 500 feet apart, how far is Jeff from the Sasquatch nest? Round your answer to the nearest foot.
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Ответ:
JS = 344 ft
Step-by-step explanation:
Draw an imaginary triangle with
C on the left, J at upper right,
and S somewhere above the line CJ, but lower than J.
Then, interior angle at C = 49 - 12 = 37°
Also,The interior angle at J = 70 - 49 = 21°
So, the interior angle at S = 70 + 49 = 119°
Now, using the law of sines, we have;
JS / sin(37) = JC / sin(119)
Thus,
JS = (500 ft) (sin 37) / (sin 119)
JS = (500 x 0.6018)/0.8746
JS = 300.9/0.8746
JS = 344 ft
Ответ: