Question

A skateboarding ramp is 13 in. high and rises at an angle of 24°. How long is the base of the ramp? Round to the nearest inch.

Answer 1

29 inches

Explanation:

This problem can be solved using the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the ramp (13 in.) and the adjacent side is the length of the base of the ramp (x in.). We can set up the following equation:

```

tan(24°) = 13/x

```

To solve for x, we can take the inverse tangent of both sides of the equation. This gives us:

```

x = 13 / tan(24°)

```

```

x = 13 / 0.447213596

```

```

x = 29.23 in.

```

To the nearest inch, the length of the base of the ramp is **29 in.**