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soldier1979 [14.2K]
1 year ago
7

In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How

tall is the tree? Round to the nearest tenth.

Mathematics
1 answer:
Nostrana [21]1 year ago
8 0

Answer:

42.0 ft

Step-by-step explanation:

let t be the height of the tree.

<u><em>At the same time ,the measure of something </em></u>

<u><em>and its shadow are proportional</em></u> .

Then

\frac{2}{6} =\frac{14}{t}

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall

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