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Kruka [31]
3 years ago
12

A 6-foot tall person standing with her back to the sun casts an 8-foot long shadow. To the nearest degree, what angle does the s

un make with the ground?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
Tgα = 6/8 = 0,75
α≈37 °
Studentka2010 [4]3 years ago
8 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Let us suppose the sun has angle of elevation x

The triangle formed will be a right triangle, so

tan x= \frac{opposite}{adjacent}

tanx = \frac{6}{8}

taking tan inverse

x=tan^{-1}(\frac{6}{8} )

x=36.87

To the nearest degree, the angle will be 37 degrees.  :   Answer

Hope it will help :)

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Step-by-step explanation:

The pages left = total pages - the pages read

(10b + 3) - (-2b +78)

10b + 2b + 3 - 78

12b - 75

The pages left is equal to 12b - 75

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A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 ​trials, the touch therapists were correct 105105 times.

<u><em>Let p = proportion that touch therapists uses a random guess method.</em></u>

Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p  = sample proportion of touch therapists were correct = \frac{105}{264} = 0.39

            n = sample of trials = 264

So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

                                =  -3.395

The value of z test statistics is -3.395.

<em>Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

3 0
3 years ago
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