A50-foot ladder leans against a wall, as shown in the figure below. if the base of the ladder is 30 feet away from the wall, how tall is the wall?

50^2 + 30^2 = x^2

2500 + 900 = x^2

3400 = x^2

x = sqrt(3400)

x = 58.31

 height is 58.31 feet ( round answer as needed)

a is the right answer

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c