Math Problem Statement

"A man standing on the deck of a ship, which is anchored in a lake, observes the angle of elevation of the top of a lighthouse to be 45°. After sailing 400 meters towards the lighthouse, the angle of elevation becomes 60°. If the height of the man’s eye level above the water is 10 meters, find the height of the lighthouse in meter

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Angles of Elevation
Right Triangles

Formulas

tan(θ) = Opposite / Adjacent
System of linear equations

Theorems

Tangent function in right triangles

Suitable Grade Level

Grades 10-12