Charlene is trying to find the unknown sides of a right triangle with a 30° acute angle, whose hypotenuse measures #12sqrt2#. What is Charlene's error?
Unknown sides are
Three angles of the right triangle are
Sides will be in the ratio, Given hypotenuse Side opposite to Side opposite to
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Charlene's error lies in assuming that the side adjacent to the 30° angle is equal to ( 12\sqrt{2} ). However, in a right triangle with a 30° acute angle, the side opposite the 30° angle is usually represented by ( \frac{1}{2} ) times the hypotenuse. Therefore, Charlene should have divided ( 12\sqrt{2} ) by ( 2 ) to find the length of the opposite side. Thus, the correct length of the opposite side would be ( 6\sqrt{2} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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