Answer
The flagpole is $7$ ft. in height.
Work Step by Step
Let's translate this word problem into an equation we can solve.
The basketball hoop is $10$ ft. tall, which will be on one side of the equal sign.
Let $x$ = the height (in feet) of the flag pole.
This is what we want to find.
On the other side of the equation, we will subtract $4$ ft. from $2$ times the height of the flag pole.
Putting all these pieces together, we get the following equation:
$10=2x - 4$
Add $4$ ft. to each side of the equation to isolate the variable:
$2x = 14$
Divide both sides by $2$:
$x = 7$
The flagpole is $7$ ft. in height.