Suppose the angle of elevation from a ship out on the ocean to the too of a lighthouse on top of a cliff is 6 degrees. The lighthouse is 60 feet tall and the cliff is 250 feet high. Find the distance from the ship to the top of the lighthouse.
Added by Patricia R.
Step 1
We need to find the distance from the ship to the top of the lighthouse. The angle of elevation to the top of the lighthouse is 6 degrees. The lighthouse itself is 60 feet tall, and it sits on a cliff that is 250 feet high. This means the total height from sea Show more…
Show all steps
Close
Your feedback will help us improve your experience
Suzanne W. and 86 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A boat is approaching a cliff known to be 50 m tall. If the angle of elevation from the boat is 60 degrees, how far away is the boat from the cliff? Give the exact value, not an approximation.
Victor S.
The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees. How far is the ship from the lighthouse? Draw a picture with relevant measurements marked and round to the nearest tenth. Assume the horizontal line of sight meets the bottom of the lighthouse.
Kathleen C.
From the top of a 250 -foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is $22^{\circ}$ and the angle of depression of the ship is $35^{\circ} .$ Find a. the distance of the ship from the lighthouse; $\mathbf{b}$. the plane's height above the water. Round to the nearest foot.
Trigonometric Functions
Right Triangle Trigonometry
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD