Interpret the statement tan(63.43°)≈2. aIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the adjacent leg. bIn a right triangle with an acute angle measuring 63.43°, the leg adjacent to the 63.43° angle has a length that is approximately double the opposite leg. cIn a right triangle with an acute angle measuring 63.43°, the leg opposite to the 63.43° angle has a length that is approximately double the adjacent leg. dIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the opposite leg.
Question
Interpret the statement tan(63.43°)≈2. aIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the adjacent leg. bIn a right triangle with an acute angle measuring 63.43°, the leg adjacent to the 63.43° angle has a length that is approximately double the opposite leg. cIn a right triangle with an acute angle measuring 63.43°, the leg opposite to the 63.43° angle has a length that is approximately double the adjacent leg. dIn a right triangle with an acute angle measuring 63.43°, the hypotenuse is approximately double the opposite leg.
Solution
The correct interpretation of the statement tan(63.43°)≈2 is option c: In a right triangle with an acute angle measuring 63.43°, the leg opposite to the 63.43° angle has a length that is approximately double the adjacent leg.
Here's why:
The tangent of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side. So, if tan(63.43°)≈2, it means that the length of the side opposite the 63.43° angle is approximately twice the length of the side adjacent to the 63.43° angle.
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