Question

the equation cos(35°) = \frac{a}{25} can be used to find the length of \overline{bc}. what is the length of \overline{bc}? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.

Explanation:

Step1: Rearrange cosine formula

$a = 25 \times \cos(35^\circ)$

Step2: Calculate cos(35°)

$\cos(35^\circ) \approx 0.8192$

Step3: Compute a

$a \approx 25 \times 0.8192 = 20.48$

Step4: Round to nearest tenth

$a \approx 20.5$

Answer:

B. 20.5 in.