Finding the height of a triangle using angles and one measurement.

Step 1: Draw and label your triangle.

Step 2: Label the sides of the right triangle; the Hypotenuse is always the longest line and it is across from the 90 degree angle, (box in the bottom left of triangle).

Step 3: Label; the Adjacent is the side that is closest to the angle that you are using.

Step 4: Label; the Opposite is the side that is across from the angle being used.

Step 5: Select either Sine, Cosine, or Tangent;  choose either Sine, Cosine, or Tangent by using the acronym Soh, Cah, Toa. This acronym shows that you would divide you given angle by sine if you have information on either the Opposite side or the Hypotenuse side and you need to solve either the Opposite side or the Hypotenuse side, you would use Cosine if you have information on either the Adjacent side or the Hypotenuse side and you need to solve either he Adjacent side or the Hypotenuse side, if you have information on either the Opposite side or the Adjacent side and you need to solve either the Opposite side or the Adjacent side. In this case you have information on the Hypotenuse side and you need to solve the adjacent side so you would use Cosine.

Step 6: Write out the equation.

Step 7: Isolate X; in this case you would move the 25 that divides X to the other side of the equation. The 25 would multiply Cos63 because 25 multiplying is the inverse of 25 dividing.

Step 8: Enter you equation into your calculator, then round that number to the nearest tenth.