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asambeis [7]
3 years ago
15

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level. What is the a

ngle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 400 feet above sea level

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0

Answer:

87.9391 degrees

Step-by-step explanation:

The top of the cellular phone tower will be at 1200 + 150 = 1350 feeet above sea level.

The cell phone user is at 400 feet above sea level, so the difference of height between the cellular phone tower and the cell phone user is 1350 - 400 = 950 feet.

The horizontal distance between then is 5 miles, which is 5 * 5280 = 26400 feet.

To calculate the angle, we need to imagine a triangle, where the angle is at the top of the tower, the adjacent cathetus is 950 feet, and the opposite cathetus is 26400 feet.

The relation between opposite cathetus and adjacent cathetus is the tangent, so:

tan(angle) = 26400 / 950 = 27.7895

angle = 87.9391 degrees

sveta [45]3 years ago
5 0

Answer:

angle of depression = 2.1⁰

Step-by-step explanation:

1 mile = 5280 ft

Hence angle of depression = 90 - ∅

Where ∅ is angle of depression

Tan ∅ = (5 x 5280)/ 950

∅ = Tan₋¹ (27.789474) = 87.9⁰

Hence angle of depression = 90 - 87.9 = 2.1⁰

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RideAnS [48]

Answer:

666.4 dollars per day

Step-by-step explanation:

Total milk farmer has is 490 gallons

He keeps 1/35 of 490 gallons

so he keeps = 1/35*490= 14 gallons

He sells remaining milk.

Remaining milk = 490-14 = 476 gallons

1 gallon = 4 quart  (conversion formula)

so 476 gallon = 4 * 476 = 1904 quart

selling price of 1 quart = 35 cents = 0.35 dollars

so selling price of 1904 quart  = 0.35*1904 = 666.4 dollars

So he makes 666.4 dollars per day.

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3 years ago
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melisa1 [442]

Answer:

B = 781.347

Step-by-step explanation:

Since we already have an equation just plug in terms where needed.

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First, start by multiplying to get rid of the parentheses.  

B=4131^{\frac{4}{5}}

Now get rid of the power.

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Hope this helps with the problem.

5 0
3 years ago
omposite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base le
adelina 88 [10]

Answer:Option C:

64 \ cm^2 is the area of the composite figure

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h=4 \ cm

Area of the trapezoid = \frac{1}{2} (b_1+b_2)h

Substituting the values, we get,

A=\frac{1}{2} (10+6)4

A=\frac{1}{2} (16)4

A=32 \ cm^2

Thus, the area of one trapezoid is $32 \ {cm}^{2}$

The area of the composite figure can be determined by adding the area of the two trapezoids.

Thus, we have,

Area of the composite figure = Area of the trapezoid + Area of the trapezoid.

Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2

Thus, the area of the composite figure is 64 \ cm^2

Step-by-step explanation:

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Answer:

\large\boxed{y-4=-\dfrac{1}{2}(x-1)}

Step-by-step explanation:

Look at the picture.

The formula of a slope:

The point-slope form of an equation of a linear function:

y-y_1=m(x-x_1)

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (1, 4) and (-3, 6). Substitute:

m=\dfrac{6-4}{-3-1}=\dfrac{2}{-4}=-\dfrac{1}{2}\\\\y-4=-\dfrac{1}{2}(x-1)

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Answer: 4 or x=−4

Step-by-step explanation:

5 0
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