Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

12. The angle of elevation from a ship to the top of a 42-meter lighthouse on the shore measures 33°. How far is the ship from the lighthouse? (Assume the horizontal line of sight meets the bottom of the lighthouse.)

Draw a picture and show your work.

Sagot :

GinnyAnswer

Final answer:

Using trigonometry, the distance from the ship to the lighthouse is approximately 74.53 meters.


Explanation:

To find the distance from the ship to the lighthouse, we can use trigonometry. Given the angle of elevation as 33° and the height of the lighthouse as 42 meters, we can use the tangent function to calculate the distance. The formula to use is tan(angle) = opposite/adjacent.

So, tan(33°) = 42m / x. Solving for x, we get x = 42m / tan(33°), which is approximately 74.53 meters.

Therefore, the ship is approximately 74.53 meters away from the lighthouse.


Learn more about Trigonometry here:

https://brainly.com/question/11016599


Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.