SOLUTION: From the top of a building 50 ft high the angles of elevation and depression of the top and bottom of another building are 19 degrees 45 minutes and 26 degrees 15 minutes respectiv

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Question 787086: From the top of a building 50 ft high the angles of elevation and depression of the top and bottom of another building are 19 degrees 45 minutes and 26 degrees 15 minutes respectively. How high is the second building? What is the distance between the two buildings?
Answer by lwsshak3(11628) About Me  (Show Source):
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From the top of a building 50 ft high the angles of elevation and depression of the top and bottom of another building are 19 degrees 45 minutes and 26 degrees 15 minutes respectively. How high is the second building? What is the distance between the two buildings?
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19 deg 45 min=19.75 deg
26 deg 15 min=26.25 deg
..
let x=distance between the two buildings
let 50+y= height of second building
..
50/x=tan 26.25 deg
x=50/tan 26.25 deg
x≈101.39
..
y/x=tan 19.75 deg
y=x*tan 19.75 deg
y≈36.40
50+y≈86.40
distance between the two buildings≈101.39 ft
height of second building≈86.40 ft