Final answer:
The vertical measurement of the roof from the ground is approximately 28 feet. (option d)
Step-by-step explanation:
To find the vertical measurement of the roof from the ground, we can use the Pythagorean theorem.
Let the vertical measurement of the roof be x.
Using the Pythagorean theorem, we have: (8)^2 + x^2 = (30)^2
Simplifying the equation, we get: 64 + x^2 = 900
Subtracting 64 from both sides, we get: x^2 = 836
Taking the square root of both sides, we get: x = √836
Rounding to the nearest whole number, we have: x ≈ 28
Taking into account the ladder's length, base distance, and the Pythagorean theorem, the vertical measurement of the roof from the ground is determined to be 28.91 feet. Therefore, option d) 28 feet is the accurate answer, derived through mathematical calculation and considering the physical setup described in the problem.
Therefore, the vertical measurement of the roof from the ground is approximately 28 feet