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2 years ago

10

Serenity used an iPhone to take a photo of the flagpole. In the photo, the flag pole has a height of 3 inches. If the photo used

a scale of 8 inches to 26 feet, what is the actual height of the flag pole in feet

2 answers:

zvonat [6]2 years ago

5 0

Answer:

9.75 ft tall

Step-by-step explanation:

:)

sergejj [24]2 years ago

3 0

The flag pole is 9.75 feet tall

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

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In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

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tamaranim1 [39]

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Step-by-step explanation:

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