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2 years ago

Find the length of side BC. Give your answer to 3 significant figures

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

Answer:

$\huge\boxed{\sf BC = 19.4 \ cm}$

Step-by-step explanation:

<h3><u>Given:</u></h3>

θ = 71°

Adjacent = AB = 6.3 cm

<h3><u>Required:</u></h3>

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

$\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}$

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