Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
Hence, this is the required solution.
so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length
now you can find the bigger triangle's hypotenuse
c=4
Recall the polynomial remainder theorem: if is a factor of some polynomial
, then the remainder upon dividing
by
is
.
Let and
. The remainder left from dividing
by
is
If we subtract 5 from both sides, we'd get a "remainder" of 0, which suggests that we have to add -5 to to make
a factor.