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The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. Trapezoid V W X Z is shown. A line is drawn from point W to point Y on side Z X, forming a right angle. Angles W V Z and V Z Y are right angles. The length of V W is 10 and the length of W Y is 8 StartRoot 3 EndRoot. Angle YW X is 30 degrees, and angle W X Y is 60 degrees. Once you you know the length of YX, find the length of the lower base, ZX. 14 units 10 + 4 StartRoot 3 EndRoot units 18 units 10 + 8 StartRoot 3 EndRoot units

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Answer:

18

Step-by-step explanation:

varshamittal029

The lower base will 18units.

What is trapezoid?

quadrilatral whose one opposite sides are parallel.

What is tangent of an angle?

The tangent of an angle is the ratio between the opposite side of the angle and the adjacent side of the angle.

tanθ=opposite side/adjacent side

So according to asked question

in the trpezoid VWXZ,

VW || XZ

Height of trapezoid= VZ =WY=8√3

VW=10

∠YWX=30°

∠WXY=60°

In triangle ΔWYX,

∠WYX=90°

ΔWYX is a right angle triangle

so, tan∠YWX= XY/WY

⇒tan30°=XY/8√3

⇒1/√3=XY/8√3

⇒XY=8√3/√3

⇒XY=8 units

the length of the lower base ZX= ZY+XY = VW+XY = 10+8=18units

Therefore the lower base will 18units.

Learn more about trapezoid

here: https://brainly.com/question/15439615

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