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zlopas [31]
3 years ago
5

1. In a recent wind storm a large tree broke and made a 58° angle

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0

*see attachement for diagram

Answer:

40.4 ft

Step-by-step explanation:

Let the part that broke away be represented as "x"

Thus, the digram makes a right triangle shape.

The closest total length of tree before the storm = x + 14 ft

Apply trigonometric function to find x.

Reference angle = 58°

Side adjacent to reference angle = 14 ft

Hypotenuse = x

Apply CAH, which is:

Cos 58 = adj/hyp

Cos 58 = 14/x

x * Cos 58 = 14

x = 14/Cos 58

x = 26.4191188 ≈ 26.4 ft

✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft

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elena-14-01-66 [18.8K]

Answer: 25.12 ft

To find the circumference of a circle, multiply the diameter with π (pi)

Formula: 2πr (2 × radius) (π = 3.14)

In the problem...

-----------------------------------------------------------------------------------------------------------------

We can multiply 3.14 by 8 to get the circumference.

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Hence, 25.12 is the answer, but we can do it another way.

Let me know if you have any questions.

~ Lily, from Brainly.

<em>Note to asker: Hi there, make sure to write down these formulas!</em>

<em />

<em>Circumference: 2πr</em>

<em />

<em>Area: πr²</em>

<em />

<em>Radius: </em>\frac{diameter}{2}<em />

<em />

<em>Diameter: radius × 2</em>

<em />

<em>Have a good day!</em>

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