Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

From the observation deck of a skyscraper, Micaela measures a 45^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 870 feet high, what is the horizontal distance from the base of the skyscraper out to the ship?

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

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.