The Figure Shows a Right-Angled Construction Frame $\mathrm { ABC }$

Multiple Choice

The figure shows a right-angled construction frame $\mathrm { ABC }$ . When measured at rest, it has dimensions as follows: $\mathrm { AB } = 26.0 \mathrm {~m} , \mathrm { AC } = 10.0 \mathrm {~m}$ , and $\mathrm { BC } = 24.0 \mathrm {~m}$ . This frame is now given a new velocity of $0.760$ c, relative to Earth, in a direction parallel to AC. How long is part AC of this frame with the new velocity as measured by Earth-based engineers?

A) $24.9 \mathrm {~m}$
B) $6.50 \mathrm {~m}$
C) $25.4 \mathrm {~m}$
D) $23.7 \mathrm {~m}$
E) $24.3 \mathrm {~m}$