Respuesta :

Answer:   y = 5

Explanation:

If y is the short leg of the 30-60-90 triangle, then y*sqrt(3) is the length of the longer leg. The short leg is always opposite the shortest angle.

We're given that 5*sqrt(3) is the longer leg, so

y*sqrt(3) = 5*sqrt(3)

y = 5

After we divide both sides by sqrt(3)

Side note: x = 2y = 2*5 = 10.

FadedElla

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Heya mate!

If you observe the figure, the longest side always resides the opposite place of the right angle. Accordingly the perpendicular is 5√3 units in measure.

With this, the hypotenuse is x and the base is y. We need to find y. By doing some smart work! Let's guess the trigonometric ratio that we give us the relation between y and 5√3 because one of the angle given is 60°

⇛ tan a = Perpendicular / Base

Plugging the values of a, and Perpendicular to find the base of the triangle i.e. y.

⇛ tan 60° = 5√3 / y

⇛ √3 = 5√3 / y

⇛ y = 5√3 / √3

⇛ y = 5 units

Hence, the Correct Option is Option A.

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