Question

Find the length of the side X in the simplest rational form with the rational denominator

helpppppp​

Answer 1

The hypotenuse x = 4 units

Explanation:

Given

Ф = 30°

Ф = 30° has opposite side = 2

To determine

The hypotenuse = x

Using the trigonometric ratio

sin Ф = opposoite / hypotenuse

substitute Ф = 30°, opposoite = 2, and hypotenuse = x

sin 30° = 2/x

x = 2/sin 30°

x = [2]/[1/2] ∵ sin 30° = 1/2

x = [2 × 2] / 1

x = 4/1

x = 4

Therefore, the hypotenuse x = 4 units