Math Problem Statement
15=25⋅tan(65∘)−21(9.81)⋅v02cos2(65∘)625
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Projectile Motion
Algebra
Formulas
v_0 = \sqrt{\frac{91893.75}{5.825}}
15 = \frac{25 \cdot \tan(65^\circ) - 21}{\frac{9.81}{v_0^2 \cdot \cos^2(65^\circ)} \cdot 625}
\tan(65^\circ) \approx 2.1445
\cos(65^\circ) \approx 0.4226
\cos^2(65^\circ) \approx 0.1786
Theorems
Trigonometric Identities
Laws of Projectile Motion
Suitable Grade Level
Grades 11-12
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