Question
A boat leaves the harbor and travels 100 miles on a bearing of N 54 (degrees) E. How many miles north and many many miles east from harbor has the boat traveled
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Answer to a math question A boat leaves the harbor and travels 100 miles on a bearing of N 54 (degrees) E. How many miles north and many many miles east from harbor has the boat traveled
Miles
4.9114 Answers
Given:
-d = 100
-\theta = 54^\circ
We can calculated_{north} d_{east}
-d_{north} = d \cdot \cos(\theta)
-d_{east} = d \cdot \sin(\theta)
Substitute the values:
-d_{north} = 100 \cdot \cos(54^\circ)
-d_{east} = 100 \cdot \sin(54^\circ)
Calculating:
-d_{north} \approx 100 \cdot 0.5878 \approx 58.78
-d_{east} \approx 100 \cdot 0.8090 \approx 80.90
Therefore, the boat has traveled approximately\boxed{58.78} \boxed{80.90}
\boxed{Answer}
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We can calculate
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Substitute the values:
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Calculating:
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Therefore, the boat has traveled approximately
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