<span>17-foot run will be 8.5 feet I think this may be right </span>
By connecting the top of the height of the bird feeder and the tip of the shadow casted, we form a right triangle. The hypotenuse is equal to the given distance between the top of the bird feeder and the top of the shadow which is equal to 19 feet.
If we let x be the height of the bird feeder and x/2 be the length of the shadow, by Pythagorean theorem,
x² + (0.5x)² = 19²
The value of x from the equation is 16.99 ft or 17 ft.
Thus, the height of the bird feeder is 17 ft and the shadow is approximately 8.5 ft.
When given a line x = "some number", this is a vertical line. No matter what the y value is the x is always -3. A vertical line has undefined slope (or no slope). The line that's perpendicular is a horizontal line. A horizontal line has zero slope - -the x changes, the y does not.
Thus, a line a perpendicular to x = -3 has zero slope. (choice "C")
