What of the Trigonometry 1

Okay, let's complete the calculation for the vertical height of the balcony.

Topic: Trigonometry 1

Task: Help the engineer to determine the vertical height of the balcony above the ground.

Step 5: Calculate the numerical value for $H$.
Using $\sqrt{3} \approx 1.732$:

$$H \approx \frac{45 + 15(1.732)}{2}$$ $$H \approx \frac{45 + 25.98}{2}$$ $$H \approx \frac{70.98}{2}$$ $$H \approx 35.49$$

The vertical height of the balcony above the ground is $35.49 \text{ m}$.