Select the correct answer. A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the building, what is the length of the ladder? A. B. C. D.

The length of the ladder is 13 feet

Step-by-step explanation:

Here, we are interested in calculating the length of the ladder.

To get this, we shall need a diagrammatic representation. In the diagram, we shall be having a right angled triangle. Please check the attachment for this.

Mathematically, the length of the ladder represents the hypotenuse of the right angled triangle while the height of the window and the distance of the ladder to the feet of the window represents the other two sides of the triangle.

To calculate the length of the ladder, we shall be using Pythagoras’ theorem.

Mathematically, it’s states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides.

let’s say the length of the ladder is l

Mathematically;

l^2 = 5^2 + 12^2

l^2 = 25 + 144

l^2 = 169

l = √169

l = 13 feet

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

just took the test and my answers down below!

step-by-step explanation:

check the pic :