SOLUTION: The figure shows that a bicyclist tips the cycle when making a turn. The angle​ B, formed by the vertical direction and the​ bicycle, is called the banking angle. The b

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The figure shows that a bicyclist tips the cycle when making a turn. The angle​ B, formed by the vertical direction and the​ bicycle, is called the banking angle. The b      Log On

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Question 1041952: The figure shows that a bicyclist tips the cycle when making a turn. The angle​ B, formed by the vertical direction and the​ bicycle, is called the banking angle. The banking angle varies inversely as the​ cycle's turning radius. When the turning radius is
6
​feet, the banking angle is
39degrees°.
What is the banking angle when the turning radius is
6.5
​feet?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the banking angle = +a+
Let the radius = +r+
----------------------
+a+ is inversely proportional to +r+
+a+=+k%2A%281%2Fr%29+
------------------
given:
+39+=+k%2A%281%2F6%29+
+k+=+234+
-------------------
+a+=+234%2A%281%2Fr%29+
+a+=+234%2A%281%2F6.5%29+
+a+=+36+
The banking angle is 36 degrees