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juin [17]
3 years ago
6

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

ove the ground. How many feet must the dog walk to reach the open barn door directly below Ted (to the nearest foot)?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

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The range of sample statistics obtained when many samples are selected is a sampling distribution. A sampling distribution is also a probability distribution of the statistics obtained in the large number of samples drawn from a specific population. It also shows every possible result that the statistic can take in every possible sample from the population and how often will each results happens.
4 0
3 years ago
The price of one share of Acme Company declined $5 per day for 4 days in a row. How much did the price of one share change in th
Ksju [112]
If the price went down $5 per day for four days straight, then it would have went down $20 total after the four days.
7 0
3 years ago
Read 2 more answers
PLZ HELP THANKS! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the f
timurjin [86]

Answer:

The answer is

<h2>15x - y = - 126</h2>

Step-by-step explanation:

To find the equation of the line we must first find the slope (m)

m =  \frac{y2 - y1 }{x2 - x1}

So the slope of the line using points

(-8,6) (-9,-9) is

m =  \frac{ - 9 - 6}{ - 9 + 8}  =  \frac{ - 15}{ - 1}  = 15

So the equation of the line using point (-8,6) and slope 15 is

y - 6 = 15( x + 8)

y - 6 = 15x + 120

Writing the equation in the form

Ax+By=C

We have

15x - y = -120-6

The final answer is

<h3>15x - y = - 126</h3>

Hope this helps you

8 0
3 years ago
Quincy sold three times as many magazines as Olivia. Trenton sold two less than twice the number of magazines that Quincy sold.
Anastaziya [24]

Olivia sold 14 magazines.

Step-by-step explanation:

Total magazines sold = 138

Let,

Magazines sold by Olivia = x

Magazines sold by Quincy = y

Magazines sold by Trenton = z

According to given statements;

x+y+z=138    Eqn 1

Quincy sold three times as many magazines as Olivia.

y = 3x    Eqn 2

Trenton sold two less than twice the number of magazines that Quincy sold.

z = 2y-2    Eqn 3

Putting value of y from Eqn 2;

z=2(3x)-2\\z=6x-2\ \ \ \ Eqn\ 4

Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1

x+3x+(6x-2)=138\\4x+6x-2=138\\10x=138+2\\10x=140\\

Dividing both sides by 10

\frac{10x}{10}=\frac{140}{10}\\x=14

Olivia sold 14 magazines.

Keywords: linear equations, division

Learn more about division at:

  • brainly.com/question/6108628
  • brainly.com/question/609140

#LearnwithBrainly

8 0
3 years ago
वह
Kipish [7]

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162

Step-by-step explanation:

step by step explanation

4 0
3 years ago
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