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Delicious77 [7]
3 years ago
9

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground and the distance from Jack's eyes to the top of the tower is 50.64 feet, how far is John from the base of the tower? Round your answer to the nearest tenth. 24.5 meters 16.1 meters 22.2 meters 18.8 meters
Mathematics
2 answers:
katovenus [111]3 years ago
6 0
Use the triangle with angle of elevation 40°

cos(40°) = adjacent leg / hypotenuse = (20 + x) / 50.64

=> 20 + x = 50.64 * cos (40°)

x = 50.64 cos(40°) - 20 = 38.79 m - 20m = 18.79 m ≈ 18.8 m

Answer: 18.8 m
alekssr [168]3 years ago
3 0

Answer:

18.8 meters

Step-by-step explanation:

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Serggg [28]
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For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not

Hope this helps :)
7 0
3 years ago
Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins
Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

6 0
4 years ago
HELP!!!!!! does anyone know the answers to e2020 geometry a and b final exam?????? or where to find them? ive searched each ques
olga55 [171]

There are two sites on Quizlet, for free, That have the answers you want.

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3 0
3 years ago
Why is y=-12.5x have a proportional relationship
Natalka [10]

Answer:

A proportional relationship is any relationship that stays constant. since both sides of the equation do not change, this is a proportional relationship

8 0
3 years ago
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o
Roman55 [17]

Answer:

Range = 11-2=9

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

\sigma^2 =8.25 \approx 8.3

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

Step-by-step explanation:

Assuming this question: "Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11 "

Solution to the problem

The range is defined as Range = Max -Min and if we replace we got:

Range = 11-2=9

Now we can calculate the population mean with this formula:

\mu =\frac{\sum_{i=1}^n X_i}{N}

And if we replace we got:

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

The population variance is given by:

\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}

And after replace we got: \sigma^2 =8.25 \approx 8.3

And the population standard deviation would be just the square root of the variance and we got:

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

4 0
4 years ago
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