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kati45 [8]
3 years ago
11

An electrician uses 7 m of wire to join a junction box at the top of a utility pole to a junction box at ground level so that th

e angle of depression is 47 degrees. To the nearest tenth of a meter, how far is the ground-level junction box from the base of the utility pole?
10.3 m
6.5 m
5.1 m
4.8 m
Mathematics
2 answers:
lesya [120]3 years ago
6 0
To solve this problem you must apply the proccedure shown below:
 1- You have that the length of the wire is 7 meters and the <span>angle of depression is 47 degrees. Therefore, you have:
 Cos</span>α=adjacent/hypotenuse
 α=47°
 adjacent=x
 hypotenuse=7
 2- When you substitute the values above, you obtain:
 Cod(47°)=x/7
 3-Solve for x as following:
 x=7[Cos(47°)]
 x=4.8
 The answer is: 4.8 meters
PIT_PIT [208]3 years ago
6 0

Answer:

4.8 m is correct/

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kari74 [83]
<h3>Answer:  x = 44</h3>

====================================================

Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

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

Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

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Answer:

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Step-by-step explanation:

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ExtremeBDS [4]

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