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Verified Answer :

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)

abudi

FIRST QUESTION :

base = 3 feet
hypotenuse = 10 feet
height = ?

hypotenuse ( squared ) = base (squared ) + height ( squared )

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

HOPE IT HELPS !!

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