Please help and thank you
1 answer:
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The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, 
, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine.
We can conclude that the ladder make with the ground a 62° angle.
We can conclude that the ladder make with the ground a 62° angle.
Answer:
Step-by-step explanation:
the equation for finding the slope of a line when given two points is , aka the change in y over the change in x.
pick one of your coordinate pairs to be and
. it doesn't matter which coordinate pair you choose as long as you keep them as
and
. the remaining coordinate pair will be
and
.
for this example, i'll use (2, 10) for and
and (6, 7) for
and
.
<em>**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for </em> and 2 for
<em>). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.</em>
<em />
first, start by plugging in the y-value from the coordinate pair of your choosing in for . since i chose (2, 10) for
and
, i'll plug in 10 for
.
⇒
then plug in the remaining coordinate pair's y-value in for . since the coordinate pair that's left is (6, 7), i will plug in 7 for
.
⇒
now i'm going to plug in the x-values. i chose (2, 10) to plug in for and
, so now i'll plug in 2 for
.
⇒
and all that's left to plug in is the x-value from (6, 7), so i will plug that in for .
⇒
after plugging in all the values, you have .
subtract 10 - 7 as well as 2 - 6.
⇒
cannot be simplified, therefore the slope of the line is
or
.
i hope this helps! have a lovely day <3