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

Guest Feb 27, 2019

#1**0 **

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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Guest Feb 27, 2019