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2 years ago

Find the value of x.

Mathematics

1 answer:

Mkey [24]2 years ago

4 0

Answer:

x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

3x +2x = 180°

5x = 180° . . . . . . . . . collect terms

x = 180°/5 = 36° . . . . . divide by 5

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

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2 years ago

The Eiffel Tower in Paris, France. Lizbeth is 5.5 feet tall. She looks up at an angle of elevation of 72° to see the top from 31

garri49 [273]

Answer:

The height of the Eiffel Tower will be 318 feet.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that Lizbeth is 5.5 ft tall, seeing the top from 318 feet away, making an angle of elevation to be 72⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 72⁰

Adjacent = a = 5.5 ft

Opposite = b = 318 ft

Hypotenuse = the height of the Eiffel Tower = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

$c=\sqrt{a^2+b^2}$

$a=5.5$

$b=318$

$c=\sqrt{5.5^2+318^2}$

$c=318$ feet

Therefore, the height of the Eiffel Tower will be 318 feet.

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2 years ago