A 12 foot ladder leans against a building. The angle of elevation from the ground to the foot of the ladder is 46°. Find, to the
1 answer:
Answer:
8.3 ft
Step-by-step explanation:
Hypotenuse is the longest side
Opposite is the side opposite the angle
Adjacent is the remaining side
Draw the triangle out, and you'll find that the hypotenuse (length of ladder) is 12ft, and that you are looking for the adjacent side (length of the foot of the ladder to the building). Rule out the opposite side (side of building) as it is not needed. The appropriate trigonometric formula is then the , rearranged to find the adjacent side is
substitute the values in and you get cos(46) x 12 = 8.335900446
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Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics :
a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women =
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-
Given : Significance level :
Critical value :
Margin of error :
Now, the 90% confidence interval for the population mean will be :-
Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)