Answer:
<h3>11.8 feet</h3>
Step-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
The independent variable is the rate that water is flowing into the pool, and the dependent variable is the depth of water in the pool.
I believe this would be the case due to the fact that we are not in control of the flow yet the flow impacts the depth. So flow would be independent while the pool depth would be dependent on the rate of flow.
Answer:
111.4 degrees
Step-by-step explanation:
Let's write cos x = -0.3646. Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character: cos Ф = -0.3646.
If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.
-1
Type this into your calculator: cos -0.3646. Result: 1.934 (radians)
This converts to degrees as follows:
1.934 rad 180 degr
--------------- * --------------- = 111.4 degrees. Note that this angle is in QIII.
1 π rad
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0
