Sketch

A caretaker uses a 10 foot ladder to reach 8 feet up the wall. What is the angle made with the floor? A Sketch will be apart of my solution

 

Consider the ladder leaning against the wall as the hypotenuse of a right triangle formed with the wall and the ground. 

The sine of the angle of interest is the opposite over the hypotenuse.  So

 

sine of the angle  =  8/10  = 0.8 

a look at the table shows that the sine of 53^o is 0.7986 so the angle is approximately 53^o

using a calculator shows that the sine^–1 of 0.8 is 53.1301^o if you want to be that exact 

 

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