[Math] Calculate height of triangle given angle and base

trianglestrigonometry

enter image description here

I need to calculate the height of $x$ in my triangle and I know the base as well as the inner angles. I've used the following equation to try calculate it based off this answer here:

How do you find the height of a triangle given $3$ angles and the base side? Image given.

The equation that I got based off that answer was this:

$$x = \frac{1000 \sin(90) \sin(5)}{ \sin(85)}$$

this gives me a value of around $4000$ which can't be right so not sure where i've gone wrong here?

Best Answer

Recall that $\tan 5 ^{\circ}=\frac{x}{1000}$