For the ladder and wall height question use Pythagoras theorem. The hypotenuse squared of a right angled triangle equals the sum of the other two sides squared. A wall is vertical and will create a right angle with the ground, which is horizontal (in this case). So ladder squared = wall squared plus 3 squared.
Wall squared = ladder squared minus 3 squared Wall squared = 10 x 10 - 3 x 3 Wall squared = 100 - 9 Wall squared = 91 Wall = square root of 91 Wall = 9.539392014 Wall = 9.54 ft (to nearest hundredth)
10^2 = 3^2 + h^2 100 = 9 + h^2 h^2 = 100 - 9 h^2 = 91 take square root on both sides to cancel the squared on h......this will become h = square root of 91 h = 9.54 feet
SECOND QUESTION :
area = 112 feet ^ 2 length of each side = ?
area of square = side ( to the power four ) 112 = s^4 take root of four on both sides to cancel 4 on s s = 112 ( root of four ) s = 3.25 feet
