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Levart [38]
3 years ago
6

HELP PLEASE!! As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from

30° to 45°. Identify the height of the chimney from John's eye level to the top of the chimney rounded to the nearest foot.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer: 22 feet.

Step-by-step explanation:

Note that there are two right triangles in the figure attached: ACD and BCD. Where "h" is the height of the chimeney  from John's eye level to the top of the chimney.

You need to use the trigonometric identity tan\alpha=\frac{opposite}{adjacent} for this exercise.

  • For the triangle BCD:

tan(45\°)=\frac{h}{x}

Solve for h:

h=xtan(45\°)\\h=x

  • For the triangle ACD:

tan(30\°)=\frac{h}{x+16}

Substitute h=x and solve for h:

tan(30\°)=\frac{h}{h+16}\\\\(h+16)(tan(30\°))=h\\\\0.577h+9.237=h\\\\9.237=h-0.577h\\\\9.237=0.423h\\\\h=\frac{9.237}{0.423}\\\\h=21.836ft

Rounded to the nearest foot:

h=22ft

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Answer: Choice A -- f(x) = (1/3)*|x|

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To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.

In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)

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4 0
3 years ago
The quotient of n and 7 is 39
Harrizon [31]
N = 273

273 / 7 = 39
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Work Backwards:

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8 0
2 years ago
Does anyone know how to do this please help me
Anit [1.1K]

Answer:

162°

Step-by-step explanation:

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7 0
3 years ago
What is the quotient of 3.12 x 108 and 2.6 x 105 expressed in scientific notation?​
Gnoma [55]

Answer:

1.2 * 10^3

Step-by-step explanation:

3.12 * 10^8

=========

2.6 * 10^5

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Now get the power on the 10. When dividing, the powers subtract.

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7 0
3 years ago
A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a
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Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

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µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

1)

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

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z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

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2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

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3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

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Therefore,

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150 × - 1.88 = x - 2300

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x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0
3 years ago
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