Question

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

Answer 1

Answer:

The ramp is 6 ft tall

Step-by-step 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

Answer 2

Answer: 6 feet.

Step-by-step 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:

$sin\alpha=\frac{opposite}{hypotenuse}$

Where:

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

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

$sin(30\°)=\frac{h}{12}\\\\h=12*sin(30\°)\\h=6$

Then the height of the ramp is 6 feet.