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Answer :
Final answer:
The ramp will rise 6.5 inches above the ground at its highest end, calculated using the sine function in trigonometry.
Explanation:
Tamika wants to determine the height at which a skateboard ramp will rise from the ground given a 19-inch long fiberboard sheet and a 20-degree angle of elevation. To calculate this, you can use the sine function from trigonometry, which is defined as the opposite side over the hypotenuse in a right-angled triangle. The formula would be:
height (= opposite side) = hypotenuse * sin(θ)
- Here, the hypotenuse is 19 inches, and θ (theta) is the 20-degree angle.
- Thus, height = 19 * sin(20°).
- Calculating this gives approximately 6.5 inches, which corresponds to answer choice (a).
Therefore, the ramp will rise 6.5 inches above the ground at its highest end.
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