SOLUTION: a vector has a magnitude of 18.3 centimeters and a direction of 38 degrees.find the magnitude of its vertical and horizontal components to the nearest tenth

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Question 216676: a vector has a magnitude of 18.3 centimeters and a direction of 38 degrees.find the magnitude of its vertical and horizontal components to the nearest tenth
Answer by drj(1380) About Me  (Show Source):
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A vector has a magnitude of 18.3 centimeters and a direction of 38 degrees.find the magnitude of its vertical and horizontal components to the nearest tenth.

Step 1. Let v be the vertical component

Step 2. Let h be the horizontal component.

Step 3. Then v=abs%28v%29%2Asin%28theta%29 and h=abs%28v%29%2Acos%28theta%29 where abs%28v%29=18.3 and theta=38.

Step 4. Solving, v=18.3sin%2838%29=11.267=11.3 centimeters and h=18.3cos%2838%29=14.42=14.4 centimeters.

Step 5. ANSWER: The vertical component is 11.3 centimeters and the horizontal component is 14.4 centimeters.
I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J