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miss Akunina [59]
2 years ago
15

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po

le. A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees. What is the height of the pole? 12 ft 12 StartRoot 3 EndRoot ft 18 ft 18 StartRoot 2 EndRoot ft

Mathematics
2 answers:
nika2105 [10]2 years ago
7 0

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

Evgesh-ka [11]2 years ago
5 0

Answer:

B. 12\sqrt{3} ft

Step-by-step explanation:

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The Roe family of four showers once a day with an average of 10 minutes per shower. The shower has a flow rate of 5 gallons per
Radda [10]

4 people x 10 minutes each = 40 minutes per day.

5 gallons per minute x 40 minutes = 200 gallons per day.

200 gallons per day x 365 days per year = 73,000 gallons a year.

6 0
2 years ago
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of
artcher [175]

Answer:

Third option.

Step-by-step explanation:

Some transformations for a function f(x), are:

If f(x)+k, the function is shifted down "k" units.

If f(x)-k, the function is shifted up "k" units.

If bf(x), and b>1, the functio is stretch vertically by a factor of "b".

If  -f(x), the function is reflected over the x-axis.

Therefore, knowing that the parent function f(x) = log_3(x)  was transformated by reflecting it over the x-axis, stretching vertically by a factor of 2 and shifting it down 3 units, we can determine that the following function represents the transformation:

f(x) = -2log_3(x)-3

3 0
2 years ago
Simplify 14.2 + 6.5(p + 3q) – 4.05q
anzhelika [568]
Answer is C
14.2+6.5(p+3q)-4.05q
14.2+6.5p+19.5q-4.05q
14.2+6.5p+15.45q→6.5p+15.45q+14.2
so the answer is C
7 0
2 years ago
Lin is 7 years younger than Adrian,
jeka94

Answer: Age of Lin is 12

Solution:

Let X= age of Maya

(X/2)+4= age of Adrian

((X/2)+4)-7= age of Lin

X+(X/2)+4+((X/2)+4-7)=61

X+.5X+4+.5X+4-7=61

2X+4+4-7=61

2x=61-8+7

2X=60

X=30 age of Maya

19= age of Adrian

Age of Lin is

=((X/2)+4)-7

=15+4-7

=12

To check if this is correct

<span>30+19+12=61</span>

5 0
2 years ago
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in
maria [59]

Answer:

A' (-2,-4) B' (-3,-7) C' (-1,-8) D' (1,-6)

Step-by-step explanation:

Just take it one point at a time and move each point down 3 and 4 left. Prime notation just means to put this little sign ' so it indicates that this is the new coordinate. So A was (2,-1) and A' (the new one) is (-2,-4)

8 0
2 years ago
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