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KIM [24]
3 years ago
10

The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How

tall is the skyscraper?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

See picture below for a geometric view.


Let x = height of building


We use basic trigonometry to find x.


The tangent function = opposite side of right triangle OVER adjacent side of right triangle.


tan(2°) = x/1


Solve for x.


After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.


We now use the calculator to find x.


In fact, you can take it from here. Use your calculator.


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Answer:

Step-by-step explanation:

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You have one type of candy that sells for $1.70/lb and another type of candy that sells for $3.40/lb. You would like to have 8.5
Andrew [12]

Answer: You will need 3.5lbs of the cheaper candy

and 5 lbs of the expensive candy.

Step-by-step explanation:

Let x represent the number of pounds of the cheaper candy that you would need.

Let y represent the number of pounds of the expensive candy that you would need.

You would like to have 8.5 lbs of a candy mixture. It means that

x + y = 8.5

You have one type of candy that sells for $1.70/lb and another type of candy that sells for $3.40/lb. The candy mixture would sell for $2.70/lb. It means that the total cost of the mixture would be 8.5 × 2.7 = $22.95. The expression would be

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Substituting x = 8.5 - y into equation 1, it becomes

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5 0
3 years ago
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a
In-s [12.5K]

Answer: t= 460.52 minutes

Step-by-step explanation:Q'=Q/100

Q'= rate in and out of water

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Let Q'(t)= The quantity of dye in the tank for t time

But rate in=0 Q/200 ×2=Q'

Q'/Q=-1/100

Dividing by Q gives

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Integrating both sides gives

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4 0
3 years ago
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Inga [223]

Answer:

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Answer:

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