Question

The figure shows a triangular wooden frame ABC. The side AD of the frame is to be braced with a steel wire.

Answer 1

What is the length, in inches, of the steel wire required to brace side AD?

4.2
5.1
6.2
6.9
@jim_thompson5910

Answer 2

AD = AB - BD

AD = 12*tan(45) - 12*tan(30)

AD = 12(tan(45) - tan(30))

AD = 12(1 - 0.577)

AD = 5.076

So AD is roughly 5.1 inches