Find the length of the side X in the simplest rational form with the rational denominator
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Answer:
The hypotenuse x = 4 units
Step-by-step 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