SOLUTION: dave is trying to measure the height of a pine tree in baguio. at a certain point on the same level ground as the base of the tree, he finds that the angle of elevation to the top

Question 932071: dave is trying to measure the height of a pine tree in baguio. at a certain point on the same level ground as the base of the tree, he finds that the angle of elevation to the top of the tree is 48degree. Moving to a point 17ft farther, the angle of elevation becomes 36degree. find the height of the tree..
Sir/Maam i need this today because i have a lot of homework and i cant answer this because i cant understand. Im so thankful who can answer this.. GODBLESS...
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Draw right triangle and mark a point 17ft farther from the tree ,the height of the tree , angle off � between horizontal line and sloping line mark with .
Then:

the angle of elevation to the top of the tree was �. Moving to a point farther, the angle of elevation becomes �.

�

...........eq.1
Moving to a point farther, the angle of elevation becomes ,� so we have:

�

...........eq.2....
the left sides of eq.1=eq.2, so we have
...........solve for

=> =>

-the height of the tree

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
dave is trying to measure the height of a pine tree in baguio. at a certain point on the same level ground as the base of the tree, he finds that the angle of elevation to the top of the tree is 48degree. Moving to a point 17ft farther, the angle of elevation becomes 36degree. find the height of the tree
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Draw the picture so you can SEE what you are doing.
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You have a right triangle.
The base is 17 ft
The height is the tree = h ft
The base angle where you are standing is 48 degrees
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Using trigonometry you get:
tan(48) = opp/adj = h/17
----
h = 17*tan(48)
h = 17*1.11
height = 18.88 ft
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cheers,
Stan H.
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