the angle of depression from the top of a cliff to a boat at sea is 17 degrees. the boat is 450m away from the shore. what is th
1 answer:
Answer:
h = 137.57 m
Step-by-step explanation:
Given that,
The angle of depression from the top of a cliff to a boat at sea is 17 degrees
The distance between the boat and the shore is 450 m, x = 450 m
We need to find the height of the cliff. Let the height be h. Using trigonometry to find it as follows :
So, the height of the cliff is 137.57 m.
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Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when
Upper limit
X when Z has a pvalue of 0.80. So X when