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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?

Sagot :

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Answer: 198.86 ft

Explanation:

In ΔABC, we have:

[tex]\begin{aligned}\Rightarrow \quad \tan 31 &=\frac{\text { height }}{\text { base }}=\frac{h}{331} \\\Rightarrow \quad h &=331 \times \tan 31 \\&=0.6008 \times 331 \\h &=198.86 \mathrm{ft}\end{aligned}[/tex]

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