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lina2011 [118]
3 years ago
10

Select the best answer to the word problem (Picture provided)

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

The answer is L_{t}=0.5L_{0} ⇒ answer (b)

Step-by-step explanation:

* Lets discuss the formula

- cosФ =\sqrt{\frac{L_{t}}{L_{0}}}

- Now find L_{t} in termas of cosФ and L_{0}

* square the two sides

∴ cos²Ф = \frac{L_{t}}{L_{0}}

* Multiply two sides by L_{0}

∴ cos²Ф × L_{0} = L_{t}

∵ Ф = 45°

∴ L_{t}=cos^{2}45(L_{0})

∵ cos45 = √2/2

∴ cos²Ф = (√2/2)² = 1/2 = 0.5

∴ L_{t}=0.5L_{0}

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