For (2) you know [BDC]=[BDA] and a1=a3. If a1=a3 is not obvious, draw DE and you have [DAB]=[EAB].
1. A quarter ($.25) is 3/4 inch in diameter and when it is 7 feet from the eye it blocks out the moon which has a diameter of 2160 miles, how far is the moon from the earth (show your work so you are not just googling it)
2. In the Triangle ABC, D and E are midpoints of AC and BC. The segments AE and BD intersect at F. How can you prove that region a2 and a4 have equal areas.
Just to quickly add on to kartelite's work, part 1 is done using trigonometry. I cant draw the diagram here, but it is tan theta = 3/4 inch/7 feet. tan theta is also equal to 2160 miles/ x where x is the distance between the person holding the coin and moon. Equate the two RHS (obviously tan theta = tan theta = LHS) and u will get the answer of kartelite.
Proposed: Queens, UBC, McGill, Alberta
Accepted: Queens, UBC, , McGill, Alberta
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