The builder of a parking garage wants to build a ramp at an angle of $13^{\circ}$ that covers a horizontal span of 50 feet. How long will the actual ramp be? Round your solution to four decimal places.

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Final Answer: The length of the ramp will be approximately $11.5434$ feet.

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Step 1 ：This is a trigonometry problem. We can use the tangent of the angle to find the length of the ramp. The tangent of an angle in a right triangle is the ratio of the opposite side (the length of the ramp in this case) to the adjacent side (the horizontal span).

Step 2 ：So, we can set up the equation $\tan (13) = \frac{l e n g t h}{50}$ and solve for length.

Step 3 ：Substituting the given values into the equation, we get $\tan (13) = \frac{l e n g t h}{50}$ .

Step 4 ：Solving for length, we get $l e n g t h = 50 \cdot \tan (13) \approx 11.543409556278156$ .

Step 5 ：Final Answer: The length of the ramp will be approximately $11.5434$ feet.

The builder of a parking garage wants to build a ramp at an angle of 13∘ that covers a horizontal span of 50 feet. How long will the actual ramp be? Round your solution to four decimal places. AnswerKeypadKeyboard Shortcut

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The builder of a parking garage wants to build a ramp at an angle of $13^{\circ}$ that covers a horizontal span of 50 feet. How long will the actual ramp be? Round your solution to four decimal places.

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