Asked by bluargh
The altitude of the cloud base is particularly important at airports. (The cloud base is where the lowest layer of clouds begins to form.) A bright spotlight is directed vertically upward. It creates a bright spot on the cloud base. From a horizontal distance of 1,150 feet away form the spotlight, the angle of elevation, θ, is measured to be 55°. Find the height of the cloud base (to the nearest foot).
Answers
Answered by
Henry
We form a rt. triangle:
X = 1150Ft. = Hor. side.
Y = Ver. side = Ht of cloud base.
Z = Hyp. = Line of sight.
A = 55 Deg. = Angle bet. hyp. and gnd.
tanA = Y/X
Y = X*tanA = 1150*tann55 = 1642 Ft.
X = 1150Ft. = Hor. side.
Y = Ver. side = Ht of cloud base.
Z = Hyp. = Line of sight.
A = 55 Deg. = Angle bet. hyp. and gnd.
tanA = Y/X
Y = X*tanA = 1150*tann55 = 1642 Ft.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.