mlaylahashimi
mlaylahashimi mlaylahashimi
  • 02-02-2021
  • Mathematics
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Find the length of the side X in the simplest rational form with the rational denominator


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Find the length of the side X in the simplest rational form with the rational denominatorhelpppppp class=

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absor201
absor201 absor201
  • 03-02-2021

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

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