Answer:
Value of θ [Angle of elevation] = 72.54°
Step-by-step explanation:
Given;
Length of foot ladder = 20 feet
Distance of foot from house (Base) = 6 feet
Find:
Angle of elevation
Computation:
Using trigonometry functions
Cos θ = Base / Hypotenuse
Cos θ = Distance of foot from house (Base) / Length of foot ladder
Cos θ = 6 / 20
Cos θ = 0.3
Cos θ = Cos 72.54
Value of θ [Angle of elevation] = 72.54°
The equation can be:5*13=65
Answer:
a) ![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b)![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
a)
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-0=-\frac{1}{9} (x-0)](https://tex.z-dn.net/?f=y-0%3D-%5Cfrac%7B1%7D%7B9%7D%20%28x-0%29)
This simplifies to:
![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b) The equation y=3x+4 follows y=mx+b. For the perpendicular line,
. We will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)
#2
2x^2 +9x-18
= (2x-3)(x+6)
#3
(3x+4)(2x-3)3
= (6x^2 + 8x - 9x - 12)3
= (6x^2 - x - 12)3
= 18x^2 -3x - 36