SOLUTION: The distance from the ground level to the underside of a cloud is called the ceiling.A ground observer 950 m from a searchlight aimed vertically notes that the angle of elevation o

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Question 160591This question is from textbook Basic Technical Mathematics
: The distance from the ground level to the underside of a cloud is called the ceiling.A ground observer 950 m from a searchlight aimed vertically notes that the angle of elevation of the spot of light on a cloud is 76 degrees. What is the ceiling? This question is from textbook Basic Technical Mathematics

Answer by MathLover1(20850) About Me  (Show Source):
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The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).
The distance from the ground level to the underside of a cloud is called the ceiling. A ground observer 950+m from a searchlight aimed vertically notes that the angle of elevation of the spot of light on a cloud is 76+degrees. What is the ceiling?
Solution:
In the right-angled triangle ABC,
tan%28A%29=oppositeside%2Fadjacentside
tan+76=+h%2F950m….make h the subject
tan+76%2A950m=+h%2A950m%2F950m
h+=+tan+76%2A950m
h+=+4.01078093353585%2A950m
h+=+3810.24m