Question

At the bottom of a mountain a ski lift starts four feet above the ground at the top of the mountain the life is 1356 feet higher if the lift ascends one foot for every four feet it travels west how far west of the starting posturing is the lift at the top of the mountain

Answer 1

To find out how far west the ski lift is at the top of the mountain, we can use the information given about the vertical and horizontal ascension.

1. **Vertical height:**
The ski lift starts 4 feet above the ground and ascends to a height of 1356 feet above the ground. Therefore, the total vertical ascent is:
\[
1356 \text{ feet} - 4 \text{ feet} = 1352 \text{ feet}
\]

2. **Horizontal movement:**
It is stated that for every 1 foot the lift ascends vertically, it travels 4 feet horizontally. We can set up a relationship based on this ratio. If the lift ascends \( h \) feet, then it travels \( 4h \) feet horizontally.

For a vertical ascent of 1352 feet, the horizontal travel would be:
\[
\text{Horizontal travel} = 4 \times 1352 \text{ feet} = 5408 \text{ feet}
\]

3. **Conclusion:**
The lift is 5408 feet west of the starting point at the top of the mountain.

Thus, the final answer is:
\[
\text{The ski lift is } 5408 \text{ feet west of the starting position.}
\]