A pole 15 feet High casts a shadow 5 feet long a 6-foot man standing nearby would cast a shadow of

15/5 = 6/X

Cross multiply and you'll get:
15X = 30
X = 30/15
X=2

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To determine the length of the shadow cast by the 6-foot man, we can use the concept of similar triangles.

Let's denote the length of the shadow cast by the man as "x." We can set up a proportion based on the similar triangles formed by the pole and its shadow, and the man and his shadow:

Height of the pole / Length of the pole's shadow = Height of the man / Length of the man's shadow

Given that the height of the pole is 15 feet and the length of its shadow is 5 feet, we have:

15 / 5 = 6 / x

Cross-multiplying:

15 * x = 5 * 6

15x = 30

Dividing both sides by 15:

x = 30 / 15

x = 2 feet

Therefore, the 6-foot man standing nearby would cast a shadow that is 2 feet long.

To check on shipment of 500 articles a sampling of 50 articles was carefully inspected of the sample 4 articles were defective on this basis what is the probable percentage of defective articles in the original shipment

15 ÷ 5 = 3

So you need to do:
6 ÷ 3 = 2
So, the man's shadow is 2 feet.