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Angle of elevation and angle of depression

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Please see the attached file for full problem description with proper diagrams.

1. We wish to estimate the height of the college chimney. When I am standing at a position A, the angle of elevation is 30 degrees, when I advance 50m closer the angle of elevation is 47 degrees. How high is the chimney?

Take the height of the man to be 180cm.

Man @180cm


2. A tumour is found to be such that when viewed by x-ray from a point A the angle of depression is 52 o and when viewed from B a distance of 16cm away horizontally on the other side of the tumour the angle of depression is 30 o. how far is the tumour from A and how deep is it?

3. what are the three internal angles of both triangles please give full workings



find x and y please give full workings

20m x

350 60o


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Solution Summary

There are several problems here regarding angle of elevation and angle of depression.

Solution provided by:
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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