Advanced Math/angle


Given A Right angled triangle with sides 3,4 and 5 units. show that one of its angles is 37 degree.

The first thing to do is to confirm that the lengths of the sides correspond to a right triangle. How would you do this? (Hint: Pythagoras' Thm.).

For a right triangle, we have the trigonometric relations

cos(angle) = side adjacent/hypoteneuse and sin(angle) = side opposite/hypoteneuse.

I assume you have drawn the triangle already and can see that we can define

hypoteneuse = 5, side adjacent = 4 and side opposite = 3.

Now to calculate an angle, we need to use the inverse trigonometric functions

cos^1(4/5) = sin^1(3/5) = 37 degrees.


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randy patton


college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography


26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

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