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2 years ago

PLEASE HELP ASAP ! a skyscraper casts a shadow 200 feet long is the angle of elevation of the sun is 42 the height is

Mathematics

1 answer:

levacccp [35]2 years ago

8 0

Answer:

A) 180.08 feet

Step-by-step explanation:

The diagram depicting the situation is shown in the attachment.

From the diagram the height is f ft.

The side we are trying to find is opposite to the given angle which is $42\degree$

We use the tangent ratio to obtain;

$\tan 42\degree=\frac{f}{200}$

We solve for f to get:

$f=200\tan 42\degree$

$f=180.08ft$

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Step-by-step explanation:

Required

Determine the relationship between given lines

(a)

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and

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$m \to slope$

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$m_1 = m_2$

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(b)

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and

$-5x + 2y = 4$

Write equations in form: $y=mx + b$

$5y + 2x = -10$

$5y = -2x +10$

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$y = -\frac{2}{5}x +2$

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$y = \frac{5}{2}x + 2$

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$m_2 = \frac{5}{2}$

For both lines to be parallel

$m_1 = m_2$

This is false in this case, because:

$-\frac{2}{5} \ne \frac{5}{2}$

For both lines to be perpendicular

$m_1 * m_2 = -1$

This is true in this case, because:

$-\frac{2}{5} * \frac{5}{2} = -1$

Cancel out 2 and 5

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