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

Question

05-07-2022
Mathematics

Answered

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

Sagot :

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ujalakhan18 ujalakhan18 · Answer 1 · 2022-07-05T07:23:12-04:00

ujalakhan18 ujalakhan18

05-07-2022

Answer:

[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 71°

Adjacent = AB = 6.3 cm

Required:

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

[tex]\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}[/tex]

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