Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Two surveyors are locating a point
P
P
P
. Surveyor
A
A
A
is at the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
and Surveyor
B
B
B
is at
(
100
,
0
)
(100, 0)
(
100
,
0
)
. Point
P
P
P
is observed such that
∠
P
A
B
=
75
∘
\angle PAB = 75^{\circ}
∠
P
A
B
=
7
5
∘
and
∠
P
B
A
=
60
∘
\angle PBA = 60^{\circ}
∠
P
B
A
=
6
0
∘
. Find the direct distance from
P
P
P
to the midpoint
M
M
M
of the segment
A
B
AB
A
B
.
Browse the problem library