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26. Look for Relationships How far from the
screen should the light be placed in order for
the shadow of the puppet to be 30 in. tall?
Explain how you found your answer. © MP7

26 Look for Relationships How far from the screen should the light be placed in order for the shadow of the puppet to be 30 in tall Explain how you found your a class=

Respuesta :

akposevictor

Using the scale factor, the distance that the screen should be from the light is: 12 inches.

Scale Factor of Dilation

Scale factor (k) = dimension of new image / corresponding dimension of original image.

  • Length of puppet = 25 in. (original image).
  • Length of Image = 30 in. (new image)

Scale factor (k) = 30/25 = 1.2.

let x be the length of the distance from the light to the puppet.

Therefore:

1.2 = (x + 2)/x

1.2x = x + 2

1.2x - x = 2

0.2x = 2

x = 2/0.2

x = 10.

Thus:

Distance from the screen to the light = x + 2 = 10 + 2 = 12 inches.

Therefore, using the scale factor, the distance that the screen should be from the light is: 12 inches.

Learn more about scale factor on:

https://brainly.com/question/10253650

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