Final answer:
To find the height of the point on the roof that is 10' on a horizontal measurement, you can use the Pythagorean Theorem. The height of the point on the roof is 10 feet.
Step-by-step explanation:
To find the height of the point on the roof that is 10' on a horizontal measurement, you can use the Pythagorean Theorem. Let's say the height is 'h' and the horizontal measurement is 10'. We can set up a right triangle with one leg being the vertical height 'h', the other leg being the horizontal measurement of 10', and the hypotenuse being the distance from the starting position to the point on the roof.
Using the Pythagorean Theorem, we have h^2 + 10'^2 = hypotenuse^2. Simplifying this equation, we get h^2 + 100 = hypotenuse^2. Since the hypotenuse is the distance from the starting position to the point on the roof, it represents the height 'h'.
Therefore, the height of the point on the roof is sqrt(100), which is equal to 10 feet.