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Sloan [31]
3 years ago
15

a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is t

he base of ladder from the wall​
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

cos(\theta) = \frac{b}{h}

b = cos(\theta)*h = cos(58)*6 = 3.2 m

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

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VikaD [51]

It is necessary to imagine the sum of the areas between each z-score and the average.

Given as the ratio of the area under the normal curve between two z-scores, both above average.

The  Z score accurately measures the number of standard deviations above or below the mean of the data points.

The formula for calculating the z-score is

z = (data points – mean) / (standard deviation).

It is also expressed as z = (x-μ) / σ.

  • A positive z-score indicates that the data points are above average.
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  • A z-score close to 0 means that the data points are close to average.
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Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.

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1 year ago
Solve for x.<br> x + 5 &gt; 4
Delvig [45]

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

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8 0
3 years ago
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What is the solution to the system of equations? -2x + y = -5 3x – 2y = 12 A) (3, 1) B) (6, 3) C) (-2, -9) D) (-2, -1)
max2010maxim [7]

Answer:

The correct answer is D) (-2, -1)

Step-by-step explanation:

In order to solve this system of equations, start by multiplying the entire first equation by 2. Then add the two equations together. This will get the y's to cancel and allow you to solve for x.

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-x = 2

x = -2

Now that we have the value for x, we can find y by plugging the x value into either equation.

-2x + y = -5

-2(2) + y = -5

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To solve, we will follow the steps below:

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since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

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divide both-side of the equation by 8

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The result will be;

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