Ricky Bobby Views Mona Lisa at Louvre

[ldbaseball16]

Homework Statement

Ricky Bobby, the calculusmeister, arrives early at the Louvre in Paris for the Da Vinci Code showing of "Mona Lisa". He has a choice of where to stand to view the portrait. He wants to be in position so that picture subtends the largest possible verticle angle at his eye. The dimension of the painting is 77 x 53 cm. It is positioned on its own wall in the Louvre so that the bottom of the picture is 236 cm above the floor. How far back from the wall should Ricky stand? Ricky Bobby's eye is 161 cm above the floor.

Homework Equations

Im not sure if I am on the right track and i have to turn it into degrees how do i do that?

The Attempt at a Solution

tanX=75/x
tanB=152/x

B-X=theta tanB-tanX/1+(tanB)(tanX) (1) (152/x-75/x)x^2/(1+(152/x)(75/x)(x^2) (2) 77x/x^2+11400

(3) f'(x)=(x^2+11400)(77)-(77x)(2x)/(x^2+11400)^2

-77x^2+(11400 x 77)/(x^2+11400) critical # + or - 106.770778
tanX= 75/.7024393753
tanB= 152/1.423610467

B-X= .7211710917

 

[HallsofIvy]

Since you haven't said what C and B represent in this problem, there is no way of determining whether what you have done is correct.