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Kite wxyz has a short diagonal of xz and a long diagonal of wy. The diagonals intersect at point v. The length of xz=8 cm and the measure of xyv is 30 degrees. Find the length of vy

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smmwaite
Answer
6.928 cm.

Explanation
The diagonals of a kite meet at 90°. 
So, the ΔXYv is a right triangle at V. 
We can use the trigonometric ratios to find the length VY.
TangentФ = opposite/adjacent 
 tan30° = 4/VY

VY = 4/tan30°
     = 4/0.5774
    = 6.928 cm.

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