Math Problem Statement
An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 𝛽 = 5° and 𝜃 = 9.5° (see figure). How far (in feet) apart are the ships? (Round your answer to one decimal place.)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Angles of Depression
Tangent Function
Formulas
tan(θ) = height / distance to ship
Distance between ships = d2 - d1
Theorems
Tangent function in right triangles
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculating Distance Using Angle of Depression from a Lighthouse
Trigonometry: Finding Distance from a Lighthouse to a Boat Using Angle of Depression
Calculate the Distance from a Lighthouse to a Boat using Trigonometry
Find the Distance Between Two Points Using Angles of Depression and Trigonometry
Trigonometry: Calculating Distance from Lighthouse to Boat using Angle of Depression