the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
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Let the length of the guy wire be x feet.
cos 51.8 = 400/x
x = 400/cos 51.8 = 646.82 feet.
The answer is 646.82 feet.
