A13 ft ladder is leaning up against a building, with the base of the ladder 2 feet from the building. how high up on the building will the top of the ladder reach?

Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse

base=2 feet

hypotenuse(ladder)=13 ft

We need to find the altitude,

By applying pythagoras theorem,

base square+altitude square=hypotenuse square

Take altitude as x

2 square+x square=13 square

4+x square=169

x square=169-4

x square=165

x= root of 165

x=12.8 feet(approx.)

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!