How high up a vertical wall will a 30-foot ladder reach if the foot of the ladder is placed 6 feet from the wall

The height of wall where 30-foot ladder reaches is 29.39 foot.

Step-by-step explanation:

 Consider a  triangle ABC showing AC be the 30 foot ladder that is resting on a wall AB and foot of ladder is 6 foot  from the wall that is BC = 6

We have to find the height of wall where ladder is reaching.

Since building and foot of   ladder makes a right angle at B.

Let AB be x foot.

PYTHAGORAS THEOREM STATES THAT THE SUM OF SQUARE OF BASE AND PERPENDICULAR IS EQUAL TO THE THE SQUARE OF HYPOTENUSE.

Applying Pythagoras theorem,

Thus, the height of wall where 30-foot ladder reaches is 29.39 foot.

step-by-step explanation:

their are no angles. sorry cant .

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is