1. a 30 ft. ladder is leaning against a building. the ladder reaches the bottom of a window that is located 15 ft. above the ground. what angle does the ladder make with the ground?

30°

Step-by-step explanation:

1. You know that:

- The length of the ladder is 30 feet.

- The window is located 15 feet above the ground.

2. Then, you can draw a right triangle as the one shown in the figure attached. So, you can calculate the angle asked as following:

Where:

 α: the angle of the ladder with the ground.

opposite=15 feet

hypotenuse=30 feet

3. When you substitute values, you obtain:

°

a² + b²= c²

24² + 7² = c²

c= 25

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.