The distance between the bird and the brick is 7.5 feet. Hence the correct answer is B. It is to be noted that the question is an exercise relating to solving the sides of a right-angled triangle.
What is the formula for finding the sides of a right-angled triangle?
The formulas for finding the sides of a right-angled triangle are:
For Side A, a = [tex]\sqrt{ (c^{2} - b^{2} })[/tex]
For Side B, b = [tex]\sqrt{ (c^{2} - a^{2} })[/tex]
For Side C, c = [tex]\sqrt{ (a^{2} + b^{2} })[/tex]
In this case, base - b has been given as 4.5 feet;
the height - a of the pole has been given as 6 feet. Note that the portion due west is a trick addition that is irrelevant to the solution.
Hence, c is equaled: [tex]\sqrt{ (6^{2} + 4.5^{2} })[/tex]
= [tex]\sqrt{ ( 36+ 20.25 })[/tex]
= [tex]\sqrt{56.25}[/tex]
= 7.5 Feet.
See the link below for more about sides of a rectangle:
https://brainly.com/question/17005369
