Question

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

Answer 1

Answer
6.928 cm.

Step-by-step 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.