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The measure of angle A in the right triangle with sides a=76.4 ft and b=39.3 ft can be found using the tangent function and is approximately 62 degrees when rounded to the nearest degree.
To find the measure of angle A in a right triangle with given sides a=76.4 ft and b=39.3 ft, we can use trigonometric functions. Since side a is opposite to angle A and side b is adjacent to angle A, we will use the tangent function, which is the ratio of the opposite side to the adjacent side. The formula to find the angle is angle A = tan∑(a/b).
Plugging in the values, we get:
angle A = tan∑(76.4/39.3)
By using a calculator, we find:
angle A = tan∑(1.9435) ≈ 62 degrees
Rounded to the nearest degree, the measure of angle A is approximately 62 degrees.
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