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Furkat [3]
4 years ago
7

PLEASE HURRY!!! What is 2.64E20 in standard form?

Mathematics
1 answer:
Vinvika [58]4 years ago
4 0

The answer could be 2.64e+20

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A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.
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Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}

In a right angled triangle

\cos \theta=\frac{adjacent}{hypotenuse}

\cos (\frac{175}{3}^{\circ})=\frac{40}{hypotenuse}

0.525=\frac{40}{hypotenuse}

hypotenuse=\frac{40}{0.525}

hypotenuse=76.190

Therefore the length of the wire is 76.19 m.

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