Question

From a hot-air balloon, Jace measures a 31 ∘ angle of depression to a landmark that’s 331 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground?

Answer 1

Answer: 198.86 ft

Step-by-step explanation:

In ΔABC, we have:

`\begin{aligned}\Rightarrow \quad \tan 31 &=\frac{\text { height }}{\text { base }}=(h)/(331) \\\Rightarrow \quad h &=331 * \tan 31 \\&=0.6008 * 331 \\h &=198.86 \mathrm{ft}\end{aligned}`