SOLUTION: ART Hans purchased a painting that is 30 inches tall that will hang 8 inches above the fireplace. The top of the fireplace is 55 inches from the floor. a. Write a function mod

Algebra.Com
Question 1040367: ART Hans purchased a painting that is 30 inches tall that will hang 8 inches
above the fireplace. The top of the fireplace is 55 inches from the floor.
a. Write a function modeling the maximum viewing angle θ for the distance d
for Hans if his eye-level when sitting is 2.5 feet above the ground.

b. Determine the distance that corresponds to the maximum viewing angle.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
This is the famous problem of Regiomontanus. See
https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem and
read up.

RELATED QUESTIONS

A painting is 2 1/2 feet tall. To hang it properly, a wire must be attached exactly 1/3... (answered by rfer)
Marty is painting the outside of a box that is 24 inches long, 18 inches wide, and 6... (answered by ewatrrr)
A painting is 10 inches tall and 15 inches wide. A print of the painting is 25 inches... (answered by checkley77)
Ana's front door is 42 inches wide and 84 inches tall. She purchased a circular table... (answered by ikleyn)
kevin has a new tv that is 24 inches tall. If Kevin sets the tv on a 3 foot tall stand,... (answered by ikleyn)
Niles casts a shadow that is 8 feet tall at the same time his dog casts a shadow that is... (answered by jorel1380)
Calculate the volume in cubic inches of a rectangular solid box that is 12 inches long, 8 (answered by Alan3354)
If a pro-basketball player has a vertical leap of about 30 inches, what is his hang time? (answered by vleith)
Evan Hugh is doing a layout work for an art book that her employer is publishing. She... (answered by checkley75)