Marta created a triangular vegetable garden in her backyard. The height (h) of the triangle exceeds the base (b) by (2) feet. Write an equation that represents the area of the garden in terms of the base.

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camilacarrielh15

08.06.2021

Mathematics

In polar coordinates, we have

$x=r\cos\theta\implies\cos\theta=\dfrac xr$
$y=r\sin\theta\implies\sin\theta=\dfrac yr$

From this we can write

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac yr}{\frac xr}=\dfrac yx$

If $\theta=\dfrac{4\pi}3$ , then $\tan\theta=\sqrt$ , so we get

$\dfrac yx=\sqrt3\implies y=\sqrt3\,x$

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