Respuesta :

Answer:

100 inches

Step-by-step 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 .

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