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How do I set up this problem? A rear window in a car is shaped like a rectangle,

ID: 1740105 • Letter: H

Question

How do I set up this problem? A rear window in a car is shaped like a rectangle, 1.3 m wide& 0.3 m high. The inside rearview mirror is 0.50 m from thedriver's eyes, and 1.50 m from the rear window. What are theminimum dimensions for the rearviw mirror if the driver is to beable to see the entire width and height of the rear window in themirror without moving his head? Thanks! How do I set up this problem? A rear window in a car is shaped like a rectangle, 1.3 m wide& 0.3 m high. The inside rearview mirror is 0.50 m from thedriver's eyes, and 1.50 m from the rear window. What are theminimum dimensions for the rearviw mirror if the driver is to beable to see the entire width and height of the rear window in themirror without moving his head? Thanks!

Explanation / Answer

   Given :              h/w= heightof mirror/width of mirror hw/ww = height of window/ width ofwindow = 0.30m/1.3m xe/xw = distance of eye/ window frommirror = 0.67m/1.50m tanver = h/xe =hw/ xe+ xw    or h = hw xe/xe+xw substitute the values for h we get the heigth of mirror tanhor = w/xe =ww/xe +xw or w = ww xe/xe +xw substitute the values for w we get the width of mirror    I hope it helps you h/w= heightof mirror/width of mirror hw/ww = height of window/ width ofwindow = 0.30m/1.3m xe/xw = distance of eye/ window frommirror = 0.67m/1.50m tanver = h/xe =hw/ xe+ xw    or h = hw xe/xe+xw substitute the values for h we get the heigth of mirror tanhor = w/xe =ww/xe +xw or w = ww xe/xe +xw substitute the values for w we get the width of mirror    I hope it helps you
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