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## Homework Statement

Anyone mind checking my answer for me?

The area of a right triangle with hypotenuse H is

A=1/4H^2sin(2x)

x is one of the acute angles. Use differentials to estimate the relative errors of the area if H = 4cm exactly and x is measured to be 30degrees with an error of measurement of 15 minutes of arc.

## Homework Equations

A=1/4H^2sin(2x)

dA=1/2H^2cos(2x)dx

dA/A=2cot(60)(0.25)

## The Attempt at a Solution

A=1/4*16sin(60)=3.464cm^2

dA=8cos(60)(0.25)

=0.125cm^2

dA/A=0.125/3.464=0.2887=relative error

Now, did I have to convert to radians in step one? 30 to pi/6? Or is this right?