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

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.

correct

Yes, your calculations and answer are correct. The ladder should be placed 5√13 feet away from the building in order to reach a height of 30 feet. Well done!