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

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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