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The height of the triangle that forms the train track is 145,38 ft
<h3>How to calculate the height of the triangle?</h3>To calculate the height of the triangle we must take into account the information provided by
- Base of the triangle = 1 mile = 5280 feet
- Railroad track expansion = 8 feet
According to the above, we must perform the following operations:
- 5280 ÷ 2 = 2640
- 8 ÷ 2 = 4
- 2640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
- Base: 2640ft
- Hypotenuse: 2644 ft
- 2644² = x² + 2640²
- x² = 2644² - 2640²
- x =
.
- x =
- x = 145,38 ft
That makes x approximately 145,38 ft.
Learn more about triangles in: brainly.com/question/2269348