Question

Let v =LeftAngleBracket 8, negative 1 RightAngleBracket. What is the approximate direction angle of v?

7°
83°
173°
353°

Answer 1

Answer:

D. 353

Step-by-step explanation:

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Answer 2

The approximate direction angle of v =<8, -1> is 353°

What is direction angle?

For any vector its direction angle is the angle that vector makes with a horizontal line.

Formula to find the direction angle of vector:

The direction angle of vector <x , y> is ,

$\theta=tan^{-1}(\frac{y}{x} )$

For given example,

We have been given a vector v = <8, -1>

Let $\theta$ be the direction angle

x = 8, y = -1

Using the formula of direction angle of vector,

$\Rightarrow \theta=tan^{-1}(\frac{y}{x} )\\\\\Rightarrow \theta=tan^{-1}(\frac{-1}{8} )\\\\\Rightarrow \theta=tan^{-1}(-0.125)\\\\\Rightarrow \theta=-7.12501635\\\\\Rightarrow \theta \approx -7^{\circ}$

If we measure this angle in anticlockwise direction then the direction angle would be,

$\Rightarrow \theta=360^{\circ}-7^{\circ}\\\\\Rightarrow \theta=353^{\circ}$

Therefore, the approximate direction angle of v is 353°

Learn more about the direction angle of vector here:

https://brainly.com/question/17330233

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