Question

Why am i wrong? Trigonometric Ratios. Real answers only!

Answer 1

You may have gotten the opposite and adjacent mixed up.

`(24)/(7)`

Explanation:

An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:

SOH stands for-

`Sine=(Opposite)/(Hypotenuse)`

CAH stands for-

`Cosine=(Adjacent)/(Hypotenuse)`

TOA stands for-

`Tangent=(Opposite)/(Adjacent)`

We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:

`tan74=(24)/(7)`

So the answer would be
`(24)/(7)`

Seeing as how you picked
`(7)/(24)` as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used
`tangent=(adjacent)/(opposite)` as your trigonometric ratio.

I hope you find my answer and explanation to be helpful. Happy studying.