Final answer:
To find the angle off the vertical for the ladder, we can use trigonometry. Using the sine function, we can calculate the angle to be approximately 48.01 degrees.
Step-by-step explanation:
To determine the angle off the vertical that the ladder should be, we can use trigonometry. The ladder forms a right triangle with the vertical height of the building being the opposite side and the length of the ladder being the hypotenuse. We can use the sine function to find the angle:
sin(angle) = opposite/hypotenuse
In this case, the opposite side is 27 m and the hypotenuse is 30 m. Plugging in these values, we have:
sin(angle) = 27/30
Solving for angle, we get:
angle = arcsin(27/30)
Using a calculator, we find that the angle is approximately 48.01 degrees. Therefore, the correct answer is (b) 48.01 degrees.