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maria [59]
3 years ago
14

a 6 foot tall person is standing x feet away from a 10 ft lamppost. What is the distance d from the base of the lamppost to the

end of the persons shadow, expressed as a function of x?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:

d = \frac{5x}{2}

Step-by-step explanation:

Height of the person = 6 feet

Height of the lamppost = 10 feet

Let the distance between the man and end of shadow be = y

By using the concept of similar triangles:

\frac{y}{6}=\frac{x}{10-6} }

=> \frac{y}{6}=\frac{x}{4} }

So, y = \frac{3x}{2}

Now distance d will be = x + y

= x+\frac{3x}{2}

d = \frac{5x}{2}

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