A triangle with a cevian. What is α?

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## Solution

The angle α is 15°.

## Poem

The door stop

A device to hold your door

A gadget

A door stopper

It can be so cute

Like this small iron bear

It can be heavy

It can be light

Made of iron

Or may be of wood

Or even in needlepoint

Filled with flowers

For our young pets

Easy to install

And doing so good

## 2 replies on “The door stop”

Is there any good geometrical interpretation for the other two positive values of sin(x) for which sin(4x)/sin(3x)= sqrt(3/2)?

Oops. I made a sign error. The only other solution to sin(4x)/sin(3x) = sqrt(3/2) that I found is x = 75 degrees. But that would make 3x = 225 degrees.