An observer at the top of a tower of height 20m sees a man due East of him at an angle of depression of 27°. He sees another man
1 answer:
Answer:
- 52.35 m
Step-by-step explanation:
<em>Refer to picture.</em>
Let the distance to men are x and y and the distance between them is d.
The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.
<u>Find the distance from the tower to men:</u>
- x = 20 tan 63° = 39.25 m
- y = 20 tan 60° = 34.64 m
<u>The distance between men is:</u>
- d =
<em>Note, all numbers are rounded</em>
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Answer:
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 2.327.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.4 - 0.1 = 3.3 liters
The upper end of the interval is the sample mean added to M. So it is 3.4 + 0.1 = 3.5 liters
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
Answer: 36
Step-by-step explanation: I took the test and the person that answered 6 is wrong because it's not even on the test :T