Question

In a scale model of a boat, 1 Inch represents 8 feet.Scale1 in : 8 ftAnswer the following.(a) In the scale model, the length of the boat is 7 inches.What is the length of the real boat?U feetхХ5?(6) The height of the real boat is 24 feet. What is the heightof the boat in the scale model?inches

Answer 1

Given: Scale is 1 inch rep 8 feet

part A)

`\begin{gathered} 1in\text{ }\equiv\text{ 8 ft} \\ T\text{herefore;} \\ 7in=\text{ x ft} \\ x=\text{ 7 }*8 \\ x=\text{ 56 ft} \end{gathered}`

part B)

`\begin{gathered} 1in\text{ }\equiv7ft \\ y\text{ in = 24 ft} \\ y=(24)/(7) \\ y=\text{ }3.43\text{ in(2 d.p)} \end{gathered}`

Final answer.

a) the actual length of the boat is 56 ft

b) the scaled height of the boat is 3.43 in