For a given right triangle, angle B = 46 degrees and side c = 30 feet.What is the length of side b to the nearest foot?
45
The answer is NOT 45 bro.
To find the length of side b in the given right triangle, we can use the sine ratio.
The sine ratio states that the ratio of the length of the side opposite an angle to the length of the hypotenuse is equal to the sine of that angle. In symbol form, it can be written as:
sin(B) = b/c
Given that angle B = 46 degrees and side c = 30 feet, we can substitute these values into the equation:
sin(46) = b/30
Now, we can solve for b by rearranging the equation:
b = sin(46) * 30
Using a calculator, we can find the value of sin(46) which is approximately 0.7193. Substituting this value into the equation, we get:
b = 0.7193 * 30
b ≈ 21.579
Therefore, the length of side b to the nearest foot is approximately 22 feet.