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ANEK [815]
3 years ago
15

Vector v has a direction of (5,3) find the direction angle for v to the nearest degree

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

31^{\circ}

Step-by-step explanation:

We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.

We know that direction of vector with components (a,b) can be determined by \theta=\text{tan}^{-1}(\frac{b}{a}).

Upon substituting the components of given vector in above formula, we will get:

\theta=\text{tan}^{-1}(\frac{3}{5})

\theta=30.9637565^{\circ}

Upon rounding to nearest degree, we will get:

\theta\approx 31^{\circ}

Therefore, the direction angle for vector v is 31 degrees.

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