The figure shows a right-angled construction frame $A B C$. When measured at rest, it has dimensions as follows: $A B = 18.9 \mathrm {~m} , A C = 10.0 \mathrm {~m}$, and $B C = 16.0 \mathrm {~m}$. This frame is now given a new velocity of $0.420$ c, relative to Earth, in a direction parallel to $A C$. How long is part $B C$ of this frame with the new velocity as measured by Earth-based engineers?
A) $16.0 \mathrm {~m}$
B) $10.0 \mathrm {~m}$
C) $12.0 \mathrm {~m}$
D) $18.0 \mathrm {~m}$
E) $14.0 \mathrm {~m}$

Question

The figure shows a right-angled construction frame $A B C$. When measured at rest, it has dimensions as follows: $A B = 18.9 \mathrm {~m} , A C = 10.0 \mathrm {~m}$, and $B C = 16.0 \mathrm {~m}$. This frame is now given a new velocity of $0.420$ c, relative to Earth, in a direction parallel to $A C$. How long is part $B C$ of this frame with the new velocity as measured by Earth-based engineers? 
A) $16.0 \mathrm {~m}$ 
B) $10.0 \mathrm {~m}$ 
C) $12.0 \mathrm {~m}$ 
D) $18.0 \mathrm {~m}$ 
E) $14.0 \mathrm {~m}$

Quizplus · Accepted Answer

The Answer of The figure shows a right-angled construction frame $A B C$. When measured at rest, it has dimensions as follows: $A B = 18.9 \mathrm {~m} , A C = 10.0 \mathrm {~m}$, and $B C = 16.0 \mathrm {~m}$. This frame is now given a new velocity of $0.420$ c, relative to Earth, in a direction parallel to $A C$. How long is part $B C$ of this frame with the new velocity as measured by Earth-based engineers? 
A) $16.0 \mathrm {~m}$ 
B) $10.0 \mathrm {~m}$ 
C) $12.0 \mathrm {~m}$ 
D) $18.0 \mathrm {~m}$ 
E) $14.0 \mathrm {~m}$

The Figure Shows a Right-Angled Construction Frame ABCA B CABC When Measured at Rest, It Has Dimensions as Follows

The Figure Shows a Right-Angled Construction Frame $A B C$ When Measured at Rest, It Has Dimensions as Follows