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Mathematics
Mathematics
Problem
In a right-angled triangle
X
Y
Z
XYZ
X
Y
Z
with
∠
Y
=
90
∘
\angle Y = 90^\circ
∠
Y
=
9
0
∘
, the side opposite
∠
X
\angle X
∠
X
is
9
cm
9\,\text{cm}
9
cm
and
∠
X
=
35
∘
\angle X = 35^\circ
∠
X
=
3
5
∘
. a. (i) Find the length of
X
Y
XY
X
Y
(to one decimal place). b. (ii) Find the length of
X
Z
XZ
X
Z
(to one decimal place). c. (iii) Determine the measure of
∠
Z
\angle Z
∠
Z
.
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