Answer:
Length of the ramp = 18.6 feet (Approx.)
Step-by-step explanation:
Given:
Horizontal distance (base distance) = 17 feet
Angle of elevation = 24°
Find:
Length of the ramp
Computation:
Cosθ = Length of base / Length of hypotenuse
Cos 24 = Horizontal distance (base distance) / Length of the ramp
Cos 24 = 17 / Length of the ramp
0.9135 = 17 / Length of the ramp
Length of the ramp = 17 / 0.9135
Length of the ramp = 18.6 feet (Approx.)
<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
The functional equation of the line is f (x)=a*x+b
you have already a: -4 -->f (x)=-4 x+b
Now you can use the point (3;-3)
3 is the x-coordinate and -3 the f (x)-coordinate
--> -3 = -4*(3) + b Now you can solve it
-3 = -12+b (+12)
b = 9
ANSWER: f (x) = -4x + 9
A= l*w
168= 14*w
Divide both sides by 14
168/14= 14w/14
12=w
Final answer: 12 ft (I'm not sure if you meant to switch the order of b and c).
