Sarah sights the top of the Statue of Liberty at an angle elevation of 61 degrees. If Sarah is 5.5 ft tall and is standing 166 f
eet from the base of the statue, find its heigh. Draw a picture, then solving for the missing parts
2 answers:
Answer:
height of the statue = 299. 50 ft + 5.5 ft = 305.5 ft
Step-by-step explanation:
The picture above illustrate Sarah's activities. The height of the statue can be computed below
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
opposite = h
adjacent = 166 ft
tan 61° = h/166
cross multiply
h = 166 tan 61°
h = 166 × 1.8040477553
h = 299.47192738 ft
h ≈ 299. 50 ft
Since she is standing on the same level where the base of the statue spring from the height of the statue will be 299. 50 ft plus Sarah's height.
height of the statue = 299. 50 ft + 5.5 ft = 305.5 ft
Solution:
we are given that
Sarah sights the top of the Statue of Liberty at an angle elevation of 61 degrees. If Sarah is 5.5 ft tall and is standing 166 feet from the base of the statue, find its heigh.
The picture has been attched
In the Triangle ABC we can write
Hence the Height of the statue
All the missing parts have been sketched in the diagram.
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Answer:
The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
Step-by-step explanation:
The confidence interval formula for mean difference for a paired data is as follows:
Here,
= sample mean of the difference,
= sample standard deviation of the difference,
<em>n </em>= sample size (both samples are of same size).
= critical value of <em>t</em>
(<em>n</em> - 1) = degrees of freedom
The information provided is:
<em>n</em> = 5
Confidence level = 95%
The critical value of <em>t</em> is:
*Use a <em>t</em>-table for the critical value of <em>t</em>.
Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
