Phil is standing x + 5 feet from the base of a building. The height of the building is 6x-1 feet. Find the function that the straight-line distance from Phil's feet to the top of the building in terms of x

Provide your answer below:

distance = √ (37x² - 2x + 26)

Step-by-step explanation:

The Pythagorean theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.

So, distance² = (6x - 1) ² + (x + 5) ².

Powers: distance² = 36x² - 12x + 1 + x² + 10x + 25

Combine like terms: distance² = 37x² - 2x + 26

Square root: distance = √ (37x² - 2x + 26)