Based on the data provided, Anthony will be safe because Anthony's ladder will make a 75. 522 degree angle.
The height of the wall is determined using trigonometric ratios.
Since the ladder must be within 1 degree of 76 degrees to be safe, we assume the maximum angle to be 77°.
Length of the ladder = 10 m
The ladder, the wall of building and the floor form a right-angled triangle.
Height of wall = 10 × sin 77°
Height of wall = 9.74 m
If Anthony places the ladder 2. 5 feet from the base of the building, angle A, it will make with the floor is calculatedas follows:
Cos A = 2.5/10
Cos A = 0.25
A = 75.522°
Therefore, Anthony will be safe because Anthony's ladder will make a 75. 522 degree angle.
Learn more about trigonometric ratios at: https://brainly.com/question/1201366
