# A hiker

A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3 degrees. The horizontal distance between the start and end points is 19.06 miles. To the nearest tenth, what is the total distance the hiker traveled?

## Correct answer:

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### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**goniometry and trigonometry**- sine
- tangent
- cotangent

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