To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of the mountain are taken. If th
e angle of elevation to the bottom of the face is 31degrees and the angle of elevation to the top is 34degrees, what is the height of the stone face?
1 answer:
Answer:
Height of the stone face = 66.29 feet
Step-by-step explanation:
Refer the given figure, here we need to find height of the stone face,
Height of the stone face = CD
CD = AD - AC
In ΔABC we have
In ΔABD we have
CD = AD - AC = 607.06 - 540.77 = 66.29 feet
Height of the stone face = CD = 66.29 feet
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a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function
Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get
b.
Differentiate w.r.t x then we get
When we substituting the value of y obtained from part b into a solution of part a then we get
Hence, solutions are consistent.
Answer:
Step-by-step explanation:
Volume =
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
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