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

step- i d k and i d c : )

you: : 0

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1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x