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pickupchik [31]
3 years ago
10

An object is 3.6 m from the pinhole. Its image is 4.2 cm from the opposite side of the pinhole. The height of the image is 0.8 c

m. What is the height of the object?
Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

Height of the object is 68.6 cm.

Step-by-step explanation:

The height of the object can be determined by:

\frac{object distance from pinhole}{image distance from pinhole} = \frac{object height}{image height}

From the given question;

object distance from pinhole = 3.6 m = 360 cm

image distance from pinhole = 4.2 cm

height of image = 0.8 cm

So that;

\frac{360}{4.2} = \frac{object height}{0.8}

⇒ object height = \frac{360*0.8}{4.2}

                           = \frac{288}{4.2}

                           = 68.571

object height = 68.6 cm

Thus, the height of the object is 68.6 cm.

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