Question

A ladder that is 30 ft long needs to reach 27 ft up a building. What should the angle off of the vertical be?

a) 30 degrees
b) 45 degrees
c) 60 degrees
d) 90 degrees

Answer 1

The angle off of the vertical should be approximately 53 degrees.

Step-by-step explanation:

To find the angle off of the vertical, we can use trigonometry. The angle we are looking for is the angle between the ladder and the ground. This angle can be found using the inverse sine function. In this case, the opposite side is 27 ft (the height of the building) and the hypotenuse is 30 ft (the length of the ladder).

Using the inverse sine function:

sin(angle) = opposite/hypotenuse

sin(angle) = 27/30

Now we can solve for the angle:

angle = sin-1(27/30)

Using a calculator, we find that the angle is approximately 53.13 degrees.

Therefore, the correct answer is approximately 53 degrees.