Question

Given that y= 12 cm and θ= 24 °, work out x rounded to 1 DP.

(not drawn to scale.)

Answer 1

`\huge\boxed{\sf x = 5.3}`

Explanation:

Given:

y = 12 cm

θ = 24°

Using trigonometric ratio, tan.

`\displaystyle \boxed{tan \theta = (opposite)/(adjacent) }\\\\tan \ 24 = (x)/(12) \\\\0.445 = (x)/(12) \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 * 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}`