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**HallsofIvy** For the upper blue triangle, you say that the length of the hypotenuse is 430 and the angle is 75 degrees. The cosine of an angle is "opposite side over hypotenuse" or $\displaystyle \frac{x}{450}= cos(75)$. So x, the length of the vertical, is $\displaystyle 450 cos(75)$. For the lower blue triangle, the length of the base leg is 270 and the angle s 75 degrees. The tangent of an angle "opposite side over near side" so $\displaystyle \frac{x}{270}= tan(75)$. So x, the length of the vertical, is $\displaystyle 270 tan(75)$.

The total height is, of course, the sum of those two.