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Lilit [14]
2 years ago
15

A road is inclined at an angle of 5°. After

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
3 0

Answer:

464 feet

Step-by-step explanation:

<em>The Sine of the angle of inclination gives the increase in altitude.</em>

<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>

Sin Ф = Opposite  ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

<em>Make </em>O<em> the subject and multiply every fraction by </em>5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

<em>This is supposed to be to the nearest foot so we round off</em>

464·388 becomes 464 feet

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Step-by-step explanation:

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<em>Use </em><em>the </em><em>formula(</em><em>a^</em><em>2</em><em>-</em><em>b</em><em>^</em><em>2</em><em>)</em>

<em>=</em><em> </em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>4</em><em>)</em>

<em>=</em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>2</em><em>^</em><em>2</em><em>)</em>

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