A) Pine Road and Oak Street form a right angle, so we can extract the relation
where
is the distance we want to find (bottom side of the rectangle).
Alternatively, we can use the other given angle by solving for in
but we'll find the same solution either way.
b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.
Let
be the length of Main Street. Then
but of course the distance has to be positive, so
.
where
Alternatively, we can use the other given angle by solving for
but we'll find the same solution either way.
b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.
Let
but of course the distance has to be positive, so