Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Solve one scalar elevation/depression target with units and precision
Problem
A \(30\text{-}\text{ft}\) tree casts a \(40\text{-}\text{ft}\) horizontal shadow. Model \(\tan(θ)\) as height over shadow length and use inverse tangent to calculate the sun's elevation angle to the nearest tenth of a degree.
From the elevation angle at the shadow tip, height is opposite and shadow length is adjacent. We’ll form rise over run with tangent, simplify the ratio, apply inverse tangent in degree mode, and round only the final angle to the requested tenth.
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