Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19degrees 
∘
  angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.

To solve this problem, we need to find the height of the ramp, which will correspond to the vertical rise at the highest point of the ramp. This is a right triangle problem, where the sheet of fiberboard is the hypotenuse, the height is the opposite side to the angle, and the angle of elevation is given as \( 19^\circ \).

We can use the sine function to relate the angle of elevation, the length of the ramp (hypotenuse), and the height (opposite side):

\[
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Where:
- \(\theta = 19^\circ\) is the angle of elevation,
- The hypotenuse is 29 inches (the length of the fiberboard),


Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.

Learn how to calculate the height of a skateboard ramp using a 29-inch long fiberboard and a 19° angle of elevation. This problem involves trigonometry concepts, such as the sine function and right triangles. Suitable for Grades 9-10 students.

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