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

Find The Length Of Side AB Give Your Answer To 3 Significant Figures class=

Sagot :

ujalakhan18

Answer:

[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 41°

Hypotenuse = BC = 13.5 cm

Required:

opposite = AB = ?

We will use the trigonometric ratio of sin.

Solution:

[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]

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