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3 years ago

7

The shadow of a telephone pole is 20 feet long. You measure the angle of elevation from the end of the shadow to the top of the

telephone pole to be 70 degrees. What is the height of the telephone pole? Round your answer to the nearest foot.

1 answer:

Aleks04 [339]3 years ago

4 0

Answer:

Approximately 55ft

Step-by-step explanation:

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MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = $\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}$

= $\frac{\text{Length of CD}}{\text{Length of GH}}$

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

= $\sqrt{(-7-0)^2+(0+7)^2}$

= $\sqrt{98}$

= $7\sqrt{2}$

Length of GH = Distance between G(0, -1) and H(-1, 0)

= $\sqrt{(-1-0)^2+(0+1)^2}$

= $\sqrt{2}$

Scale factor = $\frac{7\sqrt{2} }{\sqrt{2} }$

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Gennadij [26K]

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A 150 cm pendulum swings through an arc which measured 100pi cm. In exact radians, through what angle does it swing?

choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = $100\pi cm$

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

Arc is given by $arc=radius\times angle$

So $100\pi =150\times\times \Theta$

$\Theta =0.666\pi$

So pendulum will swing by an angle 0.666π

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