Pregunta
A helicopter flies 62 miles east, then turns
and flies at an angle of
north of east for
199 miles. What is the magnitude of the
helicopter’s resultant vector?
Draw a vector diagram.
and flies at an angle of
199 miles. What is the magnitude of the
helicopter’s resultant vector?
Draw a vector diagram.
Ask by Rojas Cole. in the United States
Nov 22,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The magnitude of the helicopter’s resultant vector is approximately 208.43 miles.
Solución

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Como
The Deep Dive
To find the magnitude of the helicopter’s resultant vector, we can break down its path into components. The first leg, 62 miles east, contributes
miles. The second leg can be broken into its east (
) and north (
) components. The helicopter flies 199 miles at
north of east, giving both components as:
Now, we can sum the components:
The magnitude of the resultant vector is calculated using the Pythagorean theorem:
So, the magnitude of the helicopter’s resultant vector is approximately
miles.
As for the vector diagram, you can illustrate it by drawing:
- A horizontal line (to the right) for the first leg (62 miles).
- An angled line (at
from the end of the first line) representing the second leg (199 miles). - The resultant vector would be a straight line from the starting point to the end of the second line, completing the triangle formed by these two segments.
With that, you’ve got a visual representation of how the helicopter flew!

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