Mathematics, 23.12.2020 08:00 maddieb1011
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answers: 2
(assuming that the height of the base of the hill is the same as that of the observer.) 
denote the observer.Let 
denote the top of the tree.Let 
denote the base of the tree.Let 
denote the point where line 
(a vertical line) and the horizontal line going through 
.
.Angle of elevation of the top of the tree as it appears to the observer: 
.
(vertical distance between the base of the tree and the base of the hill) be 
.
. Notice that the length of this segment is 
.
could be represented in two ways:
as the side adjacent to 
as the side adjacent to 
.
) in terms of 
:
.
.
.
.
. 
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The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to...
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