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the leg lengths of a right triangle are 14 and 29. find the angle measure between the leg with a length of 14 and the hyptonuse.
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GPT 3.5
To find the angle measure between the leg with a length of 14 and the hypotenuse, we need to use trigonometric functions. In this case, we can use the sine function.
The sine of an angle in a right triangle is equal to the ratio of the length of the opposite side to the length of the hypotenuse.
In this scenario, the leg with a length of 14 is the opposite side of the angle we're looking for, and the hypotenuse is the longest side of the triangle.
Using the given lengths, we have:
sine(angle) = opposite / hypotenuse
sine(angle) = 14 / 29
To find the angle, we need to take the inverse sine (also known as arcsine) of the ratio:
angle = arcsine(14/29)
Using a calculator, we can find that the angle is approximately 29.33 degrees. Therefore, the angle measure between the leg with a length of 14 and the hypotenuse is approximately 29.33 degrees.
The sine of an angle in a right triangle is equal to the ratio of the length of the opposite side to the length of the hypotenuse.
In this scenario, the leg with a length of 14 is the opposite side of the angle we're looking for, and the hypotenuse is the longest side of the triangle.
Using the given lengths, we have:
sine(angle) = opposite / hypotenuse
sine(angle) = 14 / 29
To find the angle, we need to take the inverse sine (also known as arcsine) of the ratio:
angle = arcsine(14/29)
Using a calculator, we can find that the angle is approximately 29.33 degrees. Therefore, the angle measure between the leg with a length of 14 and the hypotenuse is approximately 29.33 degrees.
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