Question

5 On a scale drawing, the height of a tree is 3.75 inches.

Part A
If the scale of the drawing is 1 in.: 50 ft, how tall is the tree?
A
13.3 in.
B
13.3 ft
C 187.5 in.
D 187.5 ft
Part B
If the same tree is shown as 6 inches tall in a new scale drawing, mademulov ort
what is the new scale?
1 in.:.what about part b

Answer 1

Part A:

We are given that the height of a tree in a scale drawing is 3.75 inches. The scale of the drawing is 1 inch: 50 feet.

To find the height of the actual tree, we can use the ratio of the drawing scale to the real-life scale. For every 1 inch on the drawing, there are 50 feet in real life.

Therefore, we can set up a proportion:

`$\frac{1 \ \text{inch}}{50 \ \text{feet}} = \frac{3.75 \ \text{inches}}{x \ \text{feet}}$where $x$ is the height of the actual tree in feet.We can solve for $x$ by cross-multiplying:$1 \ \text{inch} \cdot x = 3.75 \ \text{inches} \cdot 50 \ \text{feet}$$x = \frac{3.75 \ \text{inches} \cdot 50 \ \text{feet}}{1 \ \text{inch}} = 187.5 \ \text{feet}$Therefore, the height of the tree is $\boxed{D \ 187.5 \ \text{ft}}$.`

`$\frac{1 \ \text{inch}}{x \ \text{feet}} = \frac{6 \ \text{inches}}{187.5 \ \text{feet}}$where $187.5$ feet is the height of the tree in real life.We can solve for $x$ by cross-multiplying:$1 \ \text{inch} \cdot 187.5 \ \text{feet} = 6 \ \text{inches} \cdot x \ \text{feet}$$x = \frac{1 \ \text{inch} \cdot 187.5 \ \text{feet}}{6 \ \text{inches}} = 31.25 \ \text{ft}$Therefore, the new scale is $\boxed{1 \ \text{inch} : 31.25 \ \text{ft}}$.`

Answer 2

Explanation:

Part A:

We can use a proportion to solve for the height of the tree:

1 inch on the drawing represents 50 feet in real life.

So, 3.75 inches on the drawing would represent:

3.75 inches * (50 feet/1 inch) = 187.5 feet

Therefore, the height of the tree is 187.5 feet.

The answer is D) 187.5 ft.

Part B:

The ratio of the height of the tree on the new scale drawing to its actual height must be the same as the ratio of the height of the tree on the original scale drawing to its actual height.

Let the new scale be 1 in. : x feet.

Then, we have the proportion:

1 in. / 50 ft. = 6 in. / (x) ft.

Solving for x, we get:

x = (6 in. * 50 ft.) / 1 in.

x = 300 ft.

Therefore, the new scale is 1 in. : 300 ft.

The answer is 1 in. : 300 ft.