SOLUTION: a balloon 150 yards away on the ground rises vertically. after one minute its angle of elevation is 28 degrees 29 minutes. find its height. find its rate of rise per hour. find its

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Question 247110: a balloon 150 yards away on the ground rises vertically. after one minute its angle of elevation is 28 degrees 29 minutes. find its height. find its rate of rise per hour. find its angle angle of elevation after 3 minutes.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a balloon 150 yards away on the ground rises vertically. after one minute its angle of elevation is 28 degrees 29 minutes. find its height. find its rate of rise per hour.
:
Convert 28 degrees, 29 min to degrees: 28 + 29/60 = 28.483
:
A right triangle problem
Find how high (h) it is, after 1 minute
h%2F150 = tan(28.483)
h%2F150 = .54257
h = .54257 * 150
h = 81.3857 ft after 1 min
then
60 * 81.3857 = 4,883 ft after 1 hr
:
:
Find it's angle of elevation after 3 min
Tan(a) = %283%2A81.3857%29%2F150
Tan(a) = 244%2F150
a = 58.42 degrees which is 58 degrees 25 min