Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units