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Sagot :
The horizontal distance from the base of the skyscraper to the ship is 870 feet.
Data;
- Angle of Depression = 45°
- Observation Deck = 870 feet
Horizontal Distance
To calculate the horizontal distance from the base of the skyscraper, we can use trigonometric ratio SOHCAHTOA here;
Since we have the value of angle and opposite, we can calculate the adjacent using tangent of the angle.
[tex]Tan \theta = \frac{opposite}{adjacent}[/tex]
Let's substitute the values and solve
[tex]Tan 45 = \frac{870}{x} \\x = \frac{870}{tan 45} \\x = 870 ft[/tex]
The horizontal distance from the base of the skyscraper to the ship is 870 feet.
Learn more on trigonometric ratio here;
https://brainly.com/question/11967894
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