I believe they are called the "Legs." They are also referred to as the opposite and adjacent sides. :)
( -3,4 ) let me know if you need an extension
Perpendicular means that you will flip and change sign in this case we have -3 when we flip it and change sign we will get 1/3
So,
First we have to find b:
2=1/3(3)+b
2=1+b
1=b
Second you just write your equation:
Y= 1/3x + 1
Hope it help sweetheart!!
Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance
between the kite and Jacks house, but first we need to find the
,
and then
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For
:
(1)
Where
is the opposite side to the angle and
the hypotenuse.
Isolating
:
(2)
For
:
(3)
Where
is the adjacent side to the angle.
Isolating
:
(4)
Finding
:
(5)

(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house
and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating
and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
-3/2 you take your x value as (-2,4) and Y intercept of (0,1). To make it easier throw that in a graph and do rise over run