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aev [14]
3 years ago
8

Sketch the following to help answer the 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 = 8cm, and the measure of ∠XYV is 30 degrees. Find the length of segment VY.
16cm

8√3cm

8cm

4√3cm
Mathematics
2 answers:
Tpy6a [65]3 years ago
5 0
In a kite, the diagonals intersect normally. Hence, we also know that XV= 4cm, half of XZ. This is because the triangle XVY and XVW are equal, but it is a general property of kitest. XVY is the right angle in this. We can use then trigonometry to calculate VY.
We have that tan30= opposite site of angle XYV/adjacent leg by the definition of the tangent. Hence tan30= XV/YV. Thus, substituting the value of the tangent:
\frac{1}{ \sqrt{3} } =XV/VY \\ VY=  \sqrt{3} *XV=4 \sqrt{3}  cm
SCORPION-xisa [38]3 years ago
3 0

Answer:

its not right i got it wrong

Step-by-step explanation:

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