Question

Jason is building a skateboard ramp that 18 inches high how long must the ramp be if the angle of elevation is 17.5

Answer 1

The ramp should be about 58.73 inches long.

To find the length of the skateboard ramp L, you can use trigonometry. The tangent of the angle of elevation
`(\(\theta\))` is equal to the ratio of the height of the ramp h to the length of the ramp L.

The formula is given by:

`\[ \tan(\theta) = (h)/(L) \]`

In this case, you are given that the height of the ramp h is 18 inches, and the angle of elevation
`(\(\theta\))` is 17.5 degrees. Plugging in these values, you get:

`\[ \tan(17.5^\circ) = (18)/(L) \]`

Now, solve for L:

`\[ L = (18)/(\tan(17.5^\circ)) \]`

`\[ L \approx (18)/(0.3064) \]`

`\[ L \approx 58.73 \, \text{inches} \]`

In other words, the ramp should be approximately 58.73 inches long.