In a scale drawing, a 280-foot antenna tower is drawn $7 \frac { 1 } { 2 }$ inches high. The building next to it is drawn $2 \frac { 1 } { 4 }$ inches high. How tall is the actual building?
A) 84 ft
B) 87 ft
C) 90 ft
D) 78 ft
E) 81 ft

Question

Quizplus · Accepted Answer

The scale factor is found by dividing the actual height of the antenna by its drawing height: $280 \, \text{ft} \div 7.5 \, \text{in} = 37.33 \, \text{ft/in}$. To find the actual height of the building, multiply its drawing height by the scale factor: $2.25 \, \text{in} \times 37.33 \, \text{ft/in} = 84 \, \text{ft}$.

In a Scale Drawing, a 280-Foot Antenna Tower Is Drawn 7127 \frac { 1 } { 2 }721​

In a Scale Drawing, a 280-Foot Antenna Tower Is Drawn $7 \frac { 1 } { 2 }$