Question

What is the length of line segment YX? 8 units 8 StartRoot 3 EndRoot units 12 units 12 StartRoot 3 EndRoot units.

Answer 1

Length of line segment YX is distance of both the ends of it. The length of line segment YX is $8\sqrt{3}$ units.

What is length of a line segment?

The length of a line segment is the measurement of the distance of both the ends of it.

Given information-

In the rectangle $YVWX$ the length of line line segment YV is 24 units.

The rectangle $YVWX$ is shown in the image below.

The angle given in the figure is,

$m\angle X=30\\m\angle W=90\\m\angle V=60$

Now in the figure of rectangle shown below, the triangle XWV is the right angle triangle.

In this right angle triangle the tan of angle is the ratio perpendicular to the base. thus,

$\tan 60=\dfrac{24}{VW}\\\sqrt{3}=\dfrac{24}{VW}\\VW=8\sqrt{3}$

As the opposite side of a rectangle are equal. Thus, the length of line segment is VW is equal to the length of the line segment YX. Therefore,

$YX=VW=8\sqrt{3}$

Hence, the length of line segment YX is $8\sqrt{3}$ units. The option B is the correct option.

Learn more about the line segment here;

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