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seraphim [82]
4 years ago
12

John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does

Mathematics
1 answer:
Agata [3.3K]4 years ago
7 0

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does  John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. \theta=21^\circ

We have to find how far does  John ski down the mountain i.e. AC = ?

Using trigonometric,

\cos\theta = \frac{AB}{AC}

\cos(21)= \frac{1200}{AC}

AC=\frac{1200}{\cos(21)}

AC=1285.37

Therefore, John ski down the mountain is 1285.37 feet.

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34kurt
I hope I can be of assistance today.

First remove the parenthesis.
x^2y^8\frac{2}{3}

\mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{2x^2y^8}{3}

Hope this helps!
8 0
3 years ago
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Can anyone help me thxs :)
Nana76 [90]

Answer:

Step-by-step explanation:

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4 years ago
Select all figures with 180 degree rotational symmetry.
Rzqust [24]

Answer: b, c and e.

Step-by-step explanation:

180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.

Now, let's suppose we have a figure with an odd number of sides.

We can draw that figure such that we have a side pointing down, and a vertex pointing up.

Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.

Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.

Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.

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3 years ago
Mr. Good Wrench advertises that a customer will have to wait no more than 30 minutes for an oil change. A sample of 26 oil chang
Andru [333]

Answer:

The 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population standard deviation is:

CI=\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2, (n-1)}}}\leq \sigma\leq \sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2, (n-1)}}}

The information provided is:

<em>n</em> = 26

<em>s</em> = 4.8 minutes

Confidence level = 90%

Compute the critical values of Chi-square as follows:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.10/2, (26-1)}=\chi^{2}_{0.05, 25}=37.652

\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.10/2, (26-1)}=\chi^{2}_{0.95, 25}=14.611

*Use a Chi-square table.

Compute the 90% confidence interval for the population standard deviation waiting time for an oil change as follows:

CI=\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2, (n-1)}}}\leq \sigma\leq \sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2, (n-1)}}}

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Thus, the 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).

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m-2
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3 years ago
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