CONCEPT PREVIEW Match each equation in Column I with the appropri...

Question

CONCEPT PREVIEW Match each equation in Column I with the appropriate right triangle in Column II. In each case, the goal is to find the value of x.

I                                         II
1.                              A.   B.   C. 
2.                              
3. x = 5 tan 38°         D.   E.   F. 
4.
5.
6.

Accepted Answer

Hey, everyone in this problem, we're asked to draw a right triangle that has a side length given by the following equation. We're told that X is equal to 10 multiplied by tangent of 47 degrees. So let's start with our equation X is equal to 10 multiplied by a tangent of 47 degrees. And we wanna write rewrite this so that we have tangent of our angle is equal to something. Hey, that's how we're used to seeing those trigonometric ratios. That's how those ratios are defined. So let's rearrange our equation. And when we rearrange, we can write that tangent of 47 degrees is equal to X divided by 10. Now recall that tangent is defined as tangent of our angle is the opposite side divided by the adjacent side. And so when we draw out our triangle, we're gonna have a right angle triangle, we already know that we're gonna have what angle that is 47 degrees. And we know that the sides, the opposite and adjacent sides are given by X and 10 respectively. So if we go from our angle of 47 degrees, and we look at the opposite side we know that's going to be X going back to our angle and looking at the adjacent side, we know that that's going to be 10. OK. And so this right angle triangle where we have an angle of 47 degrees with an opposite side of X and an adjacent side of 10 is the triangle that is represented by that equation we were given. That's it for this one. Thanks everyone for watching, See you in the next video.

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CONCEPT PREVIEW Match each equation in Column I with the appropriate right triangle in Column II. In each case, the goal is to find the value of x. I II 1. A. B. C. 2. 3. x = 5 tan 38° D. E. F. 4. 5. 6.