A kite is flying above the ground
2 answers:
The height of the kite above the ground is 90.63 feet.
<u>Step-by-step explanation:</u>
The angle of elevation of the kite is (θ) 65°.
The distance between the kite and its end is (hypotenuse)100 feet.
To find the height (x) of the kite flying above the ground.
we know that sin(θ) =.
sin 65°=
sin 65° = 0.90631.
0.90631 ×100=x.
90.63=x.
∴The height of the kite above the ground is 90.63 feet.
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Answer:
58 at the point (9,8)
7 at the point (1, 1)
Step-by-step explanation:
The maximum points will be found in the vertices of the region.
Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.
The vertices found are:
(1, 10)
(1, 1)
(9, 5)
(9, 8)
We look for the values of x and y belonging to the region, which maximize the objective function . Therefore we look for the vertices with the values of x and y higher.
(1, 10), (9, 5), (9, 8)
Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)
The point that maximizes the function is:
with
Then the value that produces the minimum of f(x, y) is (1, 1)