Sailor moon is atop the lighthouse that is 40 feet high. She looks down and sees her best friend, memory on a boat at point C, 5
1 feet from the base of the lighthouse. Enter the measure of the angle of depression, angle b, from sailor moon to her best friend.
1 answer:
Answer:
Angle of depression = 38.1°
Step-by-step explanation:
We are told that;
- The sailor moon is atop a lighthouse with height of 40 ft.
-She sees her friend at point C which is 51ft from the base of the lighthouse.
I have attached a diagram depicting this question.
From the diagram, using congruent triangles, we can see that, the angle of depression = θ
Thus, using pythagoras theorem,
tan θ = 40/51
tan θ = 0.7843
θ = tan^(-1)0.7843
θ = 38.1°
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The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ /
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ =
σ = 5.398
Z = X-ц / σ
Z =
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
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