Question

Find the missing measure indicated. A) 20.0 B) 19.0 C) 14.8 D) 14.4

Answer 1

Answer:

$\huge\boxed{D)\ 14.4}$

Step-by-step explanation:

Use a cosine:

$cosine=\dfrac{adjacent}{hypotenuse}$

We have:

$\theta=32^o,\ adjacent=x,\ hypotenuse=17$

$\cos32^o\approx0.848$

Substitue:

$\cos32^o=\dfrac{x}{17}\\\\\dfrac{x}{17}=0.848\qquad\text{multiply both sides by 17}\\\\17\!\!\!\!\!\diagup\cdot\dfrac{x}{17\!\!\!\!\!\diagup}=(17)(0.848)\qquad\text{cancel 17}\\\\x=14.416\to x\approx14.4$