Tuesday, March 13, 2007

7.3.47

I really like this problem so if anyone would like to hear a brief explanation, here it is.

1. The statue's height is 6.3m (this is the fisrt side of your triangle[side a]) From the base of the triangle to some point of=n the hill side is 36m (second side b).The final side of your triangle is unknown and will be found (side c).

2. Using side c as your hypoteneus, draw a triangle attached to triangle abc so that we will be able to solve for side c and the complementary angles of the 10 degree angle from the top of the statue to the point on the side of the hill.

3. Solve triangle abc, and the right triangle that shares the hypoteneus of abc.

4. Subtract the 10 degree hill side angle and the angle of the right triangle attached to the 10 degree angle, from 90.

5. The resulting angle is the angle from the horizontal to the point on the side of the hill (5.27 degrees).




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