jelkimsamous jelkimsamous
  • 10-05-2021
  • Mathematics
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eudora eudora
  • 15-05-2021

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]

[tex]x=18\sqrt{3}[/tex]

Therefore, measure of Hypotenuse is 18√3 units.

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