Q:

If n = 44 mm and p = 67 mm, what is the measure of angle θ? A. 41° B. 57° C. 49° D. 33°

Accepted Solution

A:
Answer: Option C49°Step-by-step explanation:By definition, the cosine of an angle is defined as:[tex]cos(\theta) = \frac{adjacent}{hypotenuse}[/tex].The hypotenuse is always the opposite side to the 90 ° angleThe adjacent side is the one that contains the angle theta and the angles of 90 °.In this case note that:[tex]adjacent = n = 44\ mm\\\\hypotenuse = p = 67\ mm[/tex]So:[tex]cos(\theta) = \frac{44}{67}[/tex][tex]\theta = arcos(\frac{44}{67})[/tex][tex]\theta =49\°[/tex]