Toby put a 13 foot ladder against the side of his house. The distance from the base of the house to the top of the ladder is 12 ft. How far is the base of the ladder from the base of the house?

Step-by-step explanation:

The set up will give a right angles triangle with:

length of the ladder as the hypotenuse h = 13 foot

The distance from the base of the house to the top of the ladder is the opposite side (y) = 12 feet

The distance of the base of the ladder from the base of the house wil be the adjacent side (x)

Using the pythagoras theorem to get x:

h² = x²+y²

13² = x²+12²

x² = 13²-12²

x² = 169 -144

x² = 25

x = √25

x = 5 feet

Hence the distance of the base of the ladder from the base of the house is 5 feet long

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!