Question

Carlos designs the skateboard ramp shown in the diagram, 132in h? 22 degrees Enter the height of the ramp (h), in inches, Round your answer to the nearest whole inch.

Answer 1

The height of the ramp is 49.45in

Data;

• Length of the skateboard = 132in
• Angle between the height and skateboard = 22 degrees
• height of the skateboard ramp

Trigonometric Ratio

To solve this problem, we can use trigonometric ratio SOHCAHTOA

Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.

From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.

$sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in$

The height of the ramp is 49.45in

Learn more on trigonometric ratios here;

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