Answer:
the angle required for them to point their camera to the horizontal should be at 61.66°
Step-by-step explanation:
Given that the base of the camera is 322 meters from the horizontal and the height is 597 meters.
We can use the tangent of the trigonometric equation.
tan θ = opposite / adjacent
tan θ = 597/322
tan θ = 1.854
θ = tan⁻¹ (1.854)
θ = 61.66°
Hence, the angle required for them to point their camera to the horizontal should be at 61.66°
Answer:
See the explanation.
Step-by-step explanation:
Cora is making a rectangular prism. She plans to have 8 inches if height. What will be the volume of the rectangular figure?
As the figure formed is a rectangular prism. we need to find the volume of rectangular prism. Volume of prism will be:
Volume = Length · Width · Height
As she wants to have 8 inches of height, substitute it in the given equation:
Volume = 8(Length · Heights) inch³
Answer:
20
Step-by-step explanation:
skip count by 2
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east. Then we can say that there positions, y and x are:
y=150-600t x=200-800t
By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:
d^2=y^2+x^2, using y and x from above
d^2=(150-600t)^2+(200-800t)^2
d^2=22500-180000t+360000t^2+40000-320000t+640000t^2
d^2=1000000t^2-500000t+62500
d=√(1000000t^2-500000t+6250)
So the rate of change is the derivative of d
dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)
dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)
So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...
...
To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...
1000000t^2-500000t+62500=0
6250(16t^2-8t+1)=0
6250(16^2-4t-4t+1)=0
6250(4t(4t-1)-1(4t-1))=0
6250(4t-1)(4t-1)=0
6250(4t-1)^2=0
4t-1=0
4t=1
t=1/4 hr
Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)
