Answer:
100 inches
Explanation:
Given that the mans height is 71 inches. Height of lamp is 108 inches and distance between them is 52 inches. For Figure refer to attachment . The given figure both triangles are similar by AA similarity Condition. So we know that the corresponding parts of similar triangles are proportional .Let Distance between man a d its shadow be x .
Using this concept ,
=> AM / PN = QA / QP
=> 108 / 71 = 52 + x / x
=> 1.52 x = 52 + x
=> 1.52 x - x = 52
=> 0.52 x = 52
=> x = 52/0.52
=> x = 100 in .