Question

A vector has an x-component of length 3.5 and a y-component of length 3. What is the angle of the vector? (Hint: Use the inverse tangent.) A. 31.0degrees B. 40.6degrees C. 67.2degrees D. 59.0degrees

Answer 1

Answer:

B. 40.6 degrees

Explanation:

To find angles, we use inverse trig functions. With the provided information, we use tangent since tan uses the two legs, or the given information.

tan = $\frac{opposite}{adjacent}$ = $\frac{y}{x}$

Knowing tangent is the ratio between the two legs, we can use the inverse

$tan^{-1} (\frac{6}{7} )=40.6013$