Angle of Elevation and Depression
Q: Towns A and B are on longitudes 75 degrees W and 45 degrees E respectively. Find the time difference between these towns.
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Rewrite both sides as powers of 2: 8 = 2^3, so 8^(x-1) = (2^3)^(x-1) = 2^(3x-3). Also 16 = 2^4. So 2^(3x-3) = 2^4. Equate exponents: 3x - 3 = 4, so 3x = 7, giving x = 7/3.
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