Question

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?

Answer 1

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 = $\frac{5x}{2}$