(Quiz question 9) please only correct answers no links!
1 answer:
Answer: 43.2°
In the given diagram, we are given the hypotenuse and opposite side from the angle x. This means that we need to use the sine ratio. When finding the angle in this triangle, we need to use , not just sine. (This applies for other problems that require you to solve for the angle. The equation should be
. Calculate the equation with your calculator to get 43.2
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For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.
Then, according to the figure we have:
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