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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.
Answer Attempt 2 out of 2
6.5
inches
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Score: $1 / 5$ $\newline$ Penalty: $1$ off $\newline$ Question $\newline$ Watch Video $\newline$ Show Examples $\newline$ Carson wants to use a sheet of fiberboard $29$ inches long to create a skateboard ramp with a $19^{\circ}$ 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. $\newline$ Answer Attempt $2$ out of $2$ $\newline$ $6$ . $5$ $\newline$ inches $\newline$ Submit Answer

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Weighted averages: word problems

Full solution

Q. Score:

1 / 5

\newline

Penalty:

1

off

\newline

Question

\newline

Watch Video

\newline

Show Examples

\newline

Carson wants to use a sheet of fiberboard

29

inches long to create a skateboard ramp with a

19^{\circ}

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.

\newline

Answer Attempt

2

out of

2

\newline

6

.

5

\newline

inches

\newline

Submit Answer

Use Sine Function: To find the height of the ramp, we need to use the sine function because we have the angle of elevation and the hypotenuse (the length of the fiberboard).
Calculate Height Formula: The sine of an angle in a right triangle is equal to the opposite side (height of the ramp) divided by the hypotenuse (length of the fiberboard).
Plug in Values: So, we calculate the height using the formula: $\text{height} = \text{hypotenuse} \times \sin(\text{angle})$ .
Calculate Sine: Plugging in the values, we get $height = 29 \times \sin(19^\circ)$ .
Multiply to Find Height: Using a calculator, we find that $\sin(19^\circ)$ is approximately $0.3256$ .
Round to Nearest Tenth: Now, we multiply $29$ inches by $0.3256$ to get the height.
Final Height Calculation: The calculation gives us $29 \times 0.3256 = 9.4424$ inches.
Final Height Calculation: The calculation gives us $29 \times 0.3256 = 9.4424$ inches. Rounding to the nearest tenth, the height of the ramp is approximately $9.4$ inches.

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