# Chapter 7 - Applications of Trigonometry and Vectors - Summary Exercises on Applications of Trigonometry and Vectors - Page 345: 7a

The speed of the wind is 10 mph.

#### Work Step by Step

$v = 6~i+8~j$ The speed of the wind is the magnitude of the vector $v$. We can find the magnitude of the vector $v$: $\vert v \vert = \sqrt{6^2+8^2}$ $\vert v \vert = 10$ The speed of the wind is 10 mph.

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