Solve f(-4) if f(x) = -4x - 2.
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<u>Given:</u>
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
<u>To find:</u>
The length of the zip line where there is no rider.
<u>Solution:</u>
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is . The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
