$C$ is the horizontal translation from the parent function.

This Instructable is originally intended for the ninth students at DIS, but anybody is welcome to learn about Trigonometry.

Then from there he turns $115^$ and walks towards the other end of the lake, reaching it in $290$ yards. We see that the end points of the lake $A$ and $B$ along with the position of the tree $T$ form a triangle $BAT$.

In this triangle two sides and the included angle is known to us. The side $AB$ of this triangle is the fence which is $12 m$ long.

You may have been introduced to Trigonometry in Geometry, when you had to find either a side length or angle measurement of a triangle.

Trigonometry is basically the study of triangles, and was first used to help in the computations of astronomy.

So we can use the law of cosines to find the length of the third side $x$. One of the other sides of the pen would be the m$ wall of the barn which is at an angle of $ degrees to the fence. The side $BC$ of this triangle is our barn wall which is m$ long.

A triangular pen for livestock is to be constructed in the back yard. Now we know that we have the length of two sides of the triangle and the measure of the included angle.

Answer: The angle opposite to the 32° angle is also 32°.

Use the tan since the adj is given, and the opposite needs to be found.

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