The angle of elevation of a cliff top from a small boat on the sea is 36º. The boat is 100m from the foot of the vertical cliff.
Draw a diagram, and then calculate the height of the cliff.
1 answer:
Answer:
72.65m (2dp) is the height of the cliff
Step-by-step explanation:
The height of the cliff can be calculated using trigonometry
Since we know the angle of elevation and the adjacent = side of the angle, and we are looking for the opposite side of the angle, which say is h, we will use tan since we are not dealing with the hypotenuse
tan(36) = h/100
100tan(36) = h
h = 72.65m (2dp)
I have attached a diagram as reference
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Answer:
The minimum sample size is 239.
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 Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
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.
Population standard deviation is equal to 1.5
This means that
Margin of error of 0.25
This means that
What's the minimum size of the sample?
Rounding up:
The minimum sample size is 239.