Answer:
WX=10 + 10sqroot3
WX ~= 27.32
Step-by-step explanation:
The left part of the big triangle is a 30°-60°-90° triangle. That is one type of special right triangle. The given side ZY=10 is the short leg of that triangle on the left.
Special right triangles have short cut patterns so you can find all the sides. If the short leg is 10, the long leg is 10sqroot3.
WZ is 10sqroot3.
On the right side, the triangle is another type of special right triangle, a 45°-45°-90° triangle. Both legs are the same length. So ZX is also 10.
WX = WZ + ZX
WX = 10sqroot3 + 10
A decimal approximation for this is 27.32.
The measure of the WX is 10(√3 + 1) after using the tan ratio in a right-angle triangle.
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
In right angle triangle YZX
tan45 = ZX/10
ZX =10
In right angle triangle YZW
tan60 = WZ/10
WZ =10(√3)
WX = WZ + ZX
WX = 10(√3) + 10
or
WX = 10(√3 + 1)
Thus, the measure of the WX is 10(√3 + 1) after using the tan ratio in a right-angle triangle.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
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