A Painting in an Art Gallery Has Height $h$ And Is Hung So That Lower Edge Is a Distance

question 91

Multiple Choice

A painting in an art gallery has height $h$ and is hung so that lower edge is a distance $d$ above the eye of an observer (as in the figure) . How far from the wall should the observer stand to get the best view? (In other words, where should the observer stand so as to maximize the angle $\theta$ subtended at his eye by the painting?)

• A) \(x = \sqrt { h ( d + h ) }\)
• B) \(x = h ^ { 2 } ( h + d ) ^ { 2 }\)
• C) \(x = d ^ { 2 } ( h + d ) ^ { 2 }\)
• D) \(x = \sqrt { d ( h + d ) }\)
• E) \(x = h ^ { 2 } ( h - d ) ^ { 2 }\)

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Definitions:

Persistently Rising Employment

Refers to a continuous increase in the number of employed individuals over a period, indicating economic growth and stability.

Backward-Sloping Labor Supply

A situation where higher wages lead to a decrease in the quantity of labor supplied because the income effect outweighs the substitution effect.

Labor-Augmenting

Technological improvements or changes that increase the efficiency or productivity of labor.

Marginal Productivity

The additional output resulting from the employment of one more unit of a factor of production, holding all other inputs constant.