Question

Question was provided via image upload.

Explanation:

Identify given values

Using the Right Triangle Trigonometry knowledge point

$$
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$$

Label the right-angled triangle

Using the Right Triangle Trigonometry knowledge point

• Vertical side represents elevation: \(120\text{ m}\)
• Slanted side (hypotenuse) represents track: \(610\text{ m}\)
• Horizontal side represents horizontal distance: \(\sqrt{610^2 - 120^2}\text{ m}\)

Answer:

The right-angled triangle representing the Wellington Cable Car is labeled as follows:

• Vertical side (height/elevation): \(120\text{ m}\)
• Slanted side (hypotenuse/track length): \(610\text{ m}\)
• Horizontal side (ground distance): \(\approx 598.1\text{ m}\) (calculated via \(\sqrt{610^2 - 120^2}\))