Question

What is the height of the ramp to the nearest foot?

Answer 1

Answer: 6 feet.

Explanation:

You can observe the the triangle shown in the figure attached is a right triangle, therefore, you can calculate the height of the triangle (which you can call h) as following:

`sin\alpha=(opposite)/(hypotenuse)`

Where:

`\alpha=30\°\\opposite=h\\hypotenuse=12ft`

Substitute values and solve for the height. Therefor, the result is:

`sin(30\°)=(h)/(12)\\\\h=12*sin(30\°)\\h=6`

Then the height of the ramp is 6 feet.

Answer 2

The ramp is 6 ft tall

Explanation:

We will call the height of the ramp h

sin theta = opposite side/ hypotenuse

sin 30 = h/12

Multiply each side by 12

12 sin 30 = h

6 = h

The ramp is 6 ft tall