Question

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

Answer 1

`\huge\boxed{\sf AB = 8.86 \ cm}`

Explanation:

Given:

θ = 41°

Hypotenuse = BC = 13.5 cm

Required:

opposite = AB = ?

We will use the trigonometric ratio of sin.

Solution:

`\displaystyle sin \ \theta = (opposite )/(hypotenuse) \\\\sin \ 41=(AB)/(13.5) \\\\0.656 = (AB)/(13.5) \\\\0.656 * 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}`