firefighters have a 35 foot extension ladder. In order to reach 30 feet up a building, how far away from the building should the foot of the ladder

Question

be placed? Express your answer in simplest radial form
a^2+b^2=c^2
30^2+x^2=35^2
900+x^2=1225
-900 -900
x^2=325
square root of x^2= square root of 325
x=square root of 25 timessquare root of 13
x=5square root 13
the ladder should be placed 5 square root 13 ft away from the building.
Is this correct?
thank you for helping check over my work.

Answer 1

correct