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2 years ago

ANGLE OF ELEVATION, ANGLE OF DEPRESSION

Mathematics

1 answer:

Gekata [30.6K]2 years ago

3 0

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large \mathfrak{Together \: We \: Go \: Far}$

$\rule{70mm}{2.9pt}$

<h3>ANGLE OF ELEVATION</h3>

☞ An angle of elevation is the angle between the horizontal line of sight of the observer to the object above.

<h3>ANGLE OF DEPRESSION</h3>

☞ An angle of depression is the angle between the horizontal line of sight of the observer to the object below.

$- - - - - - - - - - - - - \: -$

Additional Information:-

☞ brainly.com/question/9817377

☞ brainly.com/question/21137209

$\rule{70mm}{2.9pt}$

~ $\large \mathfrak{MrHarold}$

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The area of the pen is the products of its dimensions

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The maximum area of the pen is 36000 square feet.

Let the dimension of the fence be x by y.

So, we have:

<em /> $\mathbf{2x + 5y = 1200}$ <em> --- perimeter</em>

<em /> $\mathbf{Area =xy}$ <em> -- area</em>

<em />

Subtract 5y from both sides of $\mathbf{2x + 5y = 1200}$

$\mathbf{2x = 1200 - 5y}$

Divide both sides by 2

$\mathbf{x = \frac{1200 - 5y}{2}}$

Substitute $\mathbf{x = \frac{1200 - 5y}{2}}$ in $\mathbf{Area =xy}$

$\mathbf{Area = \frac{1200 - 5y}{2} \times y}$

$\mathbf{Area = \frac{1200y - 5y^2}{2}}$

Split

$\mathbf{Area = 600y - \frac{5}{2}y^2}$

Differentiate

$\mathbf{A' = 600 -5y}$

Set to 0

$\mathbf{600 -5y = 0}$

Add 5y to both sides

$\mathbf{5y = 600}$

Divide both sides by 5

$\mathbf{y = 120}$

Substitute $\mathbf{y = 120}$ in $\mathbf{x = \frac{1200 - 5y}{2}}$

$\mathbf{x = \frac{1200 - 5 \times 120}{2}}$

$\mathbf{x = \frac{1200 - 600}{2}}$

$\mathbf{x = \frac{600}{2}}$

$\mathbf{x = 300}$

Recall that:

$\mathbf{Area =xy}$

So, we have:

$\mathbf{Area = 300 \times 120}$

$\mathbf{Area = 36000}$

Hence, the maximum area of the pen is 36000 square feet.

ANGLE OF ELEVATION, ANGLE OF DEPRESSION​

ANGLE OF ELEVATION, ANGLE OF DEPRESSION