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lapo4ka [179]
3 years ago
15

An engineer is surveying a building with a device that is 5 feet above the ground. He is 50 feet from the building and is lookin

g with an angle of elevation of 50°. How tall is the building?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
1. Check the sketch of the problem.

2. In right triangle DCE,

 tan50= \frac{EC}{DC}= \frac{x}{50}

tan 50 can be found to be 1.19 using a scientific calculator or other software.

1.19=\frac{x}{50}

x=1.19*50=59.5 (feet)

3. The height of the building is 59.5+5=64.5 (feet)

Answer: 64.5 (feet)

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Answer:

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The p value for this case would be given by:

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Step-by-step explanation:

Information given

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We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

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Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

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