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Mathematics
Mathematics
Problem
A surveyor needs to find the distance between two landmarks
C
C
C
and
D
D
D
on the far side of a river. He establishes a baseline
A
B
AB
A
B
of length
50
m
50\,\text{m}
50
m
on his side. He measures angles
∠
C
A
B
=
45
∘
\angle CAB = 45^{\circ}
∠
C
A
B
=
4
5
∘
,
∠
D
A
B
=
75
∘
\angle DAB = 75^{\circ}
∠
D
A
B
=
7
5
∘
,
∠
C
B
A
=
60
∘
\angle CBA = 60^{\circ}
∠
C
B
A
=
6
0
∘
, and
∠
D
B
A
=
30
∘
\angle DBA = 30^{\circ}
∠
D
B
A
=
3
0
∘
. Calculate the distance
C
D
CD
C
D
.
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