(40 POINTS)
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
Simplify:
Distribute:
Add 3 to both sides. So, our equation is:
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
Evaluate for r. Distribute:
Subtract:
So, the value of r is 4.
And we're done!
Answer:
16.24°
Step-by-step explanation:
Are you trying to find the angle of depression from the camera to the cashier?
Assume that the camera is 2.24 m high and the cashier is 7.69 m away.
1. Angle of elevation from cashier
tanθ = 2.24/7.69 = 0.2913
θ = arctan(0.2913) = 16.24°
2. Angle of depression from camera
∠ of depression = ∠ of elevation = 16.24°
