SOLUTION: Chidi measured the angle of elevation of a tree and found it was 38 degrees. He then walked 25m towards the tree and measured the angle of elevation again to be 50 degrees (1)Sketc

Algebra ->  Trigonometry-basics -> SOLUTION: Chidi measured the angle of elevation of a tree and found it was 38 degrees. He then walked 25m towards the tree and measured the angle of elevation again to be 50 degrees (1)Sketc      Log On


   

Question 1207667: Chidi measured the angle of elevation of a tree and found it was 38 degrees. He then walked 25m towards the tree and measured the angle of elevation again to be 50 degrees (1)Sketch the diagram (2)use a scale of 1cm to represent 10m to draw the diagram accurately. (3)Find the actual height of the tree (4)find the total distance to the bottom of tree from chidi's initial position
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Carefully reading and making the drawing according to description should be no trouble. The drawing is more comfortable to make if not drawn-to-scale.

click on image to see better..
image host

Question is asking for y and for 25%2Bx.
Probably best to make use of Tangent function.

system%28y%2F%2825%2Bx%29=tan%2838%29%2Cand%2Cy%2Fx=tan%2850%29%29
.
Use second equation, solve for x, substitute into first equation, solve for y, find an expression for y, computable:

y=%2825%2Atan%2838%29%2Atan%2850%29%29%2F%28tan%2850%29-tan%2838%29%29

and continue onward from that...









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