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Firlakuza [10]
3 years ago
7

On a sunny day a telephone pole cast a shadow that is 10 feet long at the same time 36 inch yardstick cast a shadow that is 15 i

nches long?
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

The height of the telephone pole is 24 feet.

Step-by-step explanation:

The same rays are falling on the pole and yardstick, so at the same time of day both pole and yardstick have same angle of elevation from the ground.

<em>The height of yard stick is 36 inch and shadow is 15 inch long.</em>

<em>Let the height of pole be "x" , with shadow 10 feet long.</em>

1 feet  = 12 inches

The 2 triangles are similar. Thus,

<em>\frac{x}{36} = \frac{(10)(12)}{15}</em>

<em>x = 288 inches = \frac{288}{12} = 24 feet</em>

Thus, the height of telephone pole is 24 feet.

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