George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.
20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?
1 answer:
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1.
Answer D.
2.
From secant theorem, we know, that:
and from picture:
So we can calculate:
Answer D.
2.
From secant theorem, we know, that:
and from picture:
So we can calculate:
This picture should provide a full answer. What I did was rearrange the equation to get Tan(x) on one side, then in order to get rid of the Tan, I used Arctan, which got us the final answer.
