Question

A 23-ft ladder leans against a building so that the base angle between the ground and the building is 8 feet. What angle does the ladder make with the building?

Answer 1

The angle that the ladder makes with the building is approximately 20.8 degrees.

Step-by-step explanation:

The angle that the ladder makes with the building can be found using trigonometry. Since the base angle between the ground and the building is 8 feet, and the ladder is 23 feet long, we can use the sine function to calculate the angle. The sine function is defined as the opposite side divided by the hypotenuse, so in this case, sin(angle) = 8/23. To find the angle, we can take the inverse sine of both sides of the equation. Using a calculator, we find that the angle is approximately 20.8 degrees.