A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the
1 answer:
Answer:
The angle is .
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ =
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ =
Sin θ = 0.0875
θ = 0.0875
=
The angle made by the rope with respect to the ground is approximately .
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I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.
Compute the first derivative. By the chain rule,
We have
and so
Now compute the second derivative. Notice that is a function of
; so denote it by
. Then
By the chain rule,
We have
and so the second derivative is
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula:
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3