(see attached graphic)
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
Answer:
<h3>y - 3 = 2(x+1)</h3>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Get the slope;
Given the points (-1,3) and (1, 7)
m = y2-y1/x2-x1
m = 7-3/1+1
m = 4/2
m = 2
Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;
y - y0 = m(x-x0)
y - 3 = 2(x-(-1))
y - 3 = 2(x+1)
Hence the required equation is y - 3 = 2(x+1)
The maximum profit, as taught in calculus, can be determined when you equate the first derivative of the function to zero. So,
P' = 300 + 0
Hence, the maximum profit is 300.
I'm not sure about the vertices, though. Anyhow, I hope I was able to help you. Have a good day.