Question

Find the value of f.

Answer 1

13.9 units

Explanation:

Consider the right-angled triangle on the right:

Hypotenuse = 16 units

With respect to the angle 30°:

Adjacent = f

Use cosФ trigonometric function to determine f:

CosФ =
`(Adjacent)/(Hypotenuse)`

Cos30° =
`(f)/(16)`

Cross-multiplication is applied:

f = (16)(Cos30°)

∴f = 13.9 units (Rounded to 3 significant figures)