Where should the point p be chosen on line segment ab so as to maximize the angle θ? (assume a = 4 units, b = 5 units, and c = 9 units. round your answer to two decimal places.)

The distance from A of point P, so that angle θ is maximum is 0.51.

Given :

a = 4 units

b = 5 units

c = 9 units

Line segment AB.

Solution :

Let AB = x and let the angle opposite side 'a' be and the angle opposite side 'c' be .

From the diagram angle is given by:

From the diagram angle is given by:

From the diagram angle is given by:

   --- (1)

To maximize the angle , differentiate equation (1) with respect to x we get,

The distance from A of point P, so that angle is maximum is 0.51.

For more information, refer the link given below

link

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level

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step-by-step explanation: