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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
,
∠
Y
\angle Y
∠
Y
is
90
∘
90^{\circ}
9
0
∘
. An altitude is drawn from
Y
Y
Y
to the hypotenuse
X
Z
XZ
X
Z
, meeting it at point
M
M
M
. If
∠
Z
\angle Z
∠
Z
is
30
∘
30^{\circ}
3
0
∘
and side
X
Y
XY
X
Y
is
10
units
10\,\text{units}
10
units
, find the length of the altitude
Y
M
YM
Y
M
.
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