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  4. At a certain time of the day, a man, 6 feet tall, casts his shadow 8 feet long. Find the length of ......
问： At a certain time of the day, a man, 6 feet tall, casts his shadow 8 feet long. Find the length of ......

該主題已解決 (Solved)

我该叫什么 | 5/21/2019 6:00:28 PM | 1114

At a certain time of the day, a man, 6 feet tall, casts his shadow 8 feet long. Find the length of the shadow cast by a building 45 feet high, at the same time.

發佈人認爲這是正確答案 (Author accepted the answer)
5/21/2019 6:02:15 PM

华人工商课后辅导小组

Solution:

Let the length of the shadow of the building be x.

Basic Proportionality Theorem Problem

As the source of light is the sun, XZ ∥ PQ and, hence ∆YXZ ∼ ∆YPQ.

Therefore, Height of the ManHeight of the Building = Length of Shadow Cast by the ManLength of Shadow Cast by the Building

⟹ 6ft45ft = 8ftx

⟹ x = 60 feet.


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