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Lubov Fominskaja [6]
2 years ago
8

Sparky the Bear is atop a 100 foot tower. He is looking out over a fairly level area for careless people who might start fires.

Suddenly, he sees a fire starting. He marks down the direction of the fire, but he also needs to know how far away the tower is from the fire.
Mathematics
1 answer:
Bogdan [553]2 years ago
3 0

The distance of sparky to the fire is 99.445 feet

<h3>Application of SOH CAH TOA identity</h3>

Given the following parameters

The angle of depression = 6  degrees

If Sparky is looking over the fairly level, hence the hypotenuse is 100 foot

Required

Distance from spark tower to the fire

Using the expression below

Cos 6 = D/100

D = 100cos6

D = 100(0.9945)
D = 99.45foot

Hence the distance of sparky to the fire is 99.445 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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\huge \boxed{\mathbb{QUESTION} \downarrow}

- 2 ( 2 x + 3 ) \leq 26.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

- 2 ( 2 x + 3 ) \leq 26

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

2x+3\geq \frac{26}{-2}  \\

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Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

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Divide -16 by 2..we'll get the answer as -8.

\huge \boxed{ \boxed{ \bf \: x\geq -8 }}

  • The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>
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