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STALIN
2 months ago
14

A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on

Mathematics
1 answer:
lawyer [12.5K]2 months ago
7 0

Answer:

48 cm

Step-by-step explanation:

Parameters given:

Distance of the rod from the wall = 45 cm

Distance of the rod from the light source = 15 cm

Rod length = 12 cm

It can be observed that <DAM and <BAF are congruent.

Additionally, <DMA and <BFM are congruent as they represent corresponding angles.

To determine the shadow length, we will consider the equation

\frac{DM}{BF} = \frac{AM}{A.F}

Where:

DM = half the length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Thus,

\frac{DM}{BF} = \frac{AM}{A.F}

= \frac{6}{BF} = \frac{15}{60}

After cross-multiplying, we get:

15 * B.F = 60 * 6

15 * B.F = 360

BF = \frac{360}{15}

BF = 24 cm

The shadow on the wall is thus:

2 * BF

= 2 * 24

= 48 cm

The shadow's length on the wall is 48 cm.

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Answer with explanation:

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2 months ago
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Conclusion:

Please refer to the explanation provided.

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Let the number of cars be c.

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3 months ago
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