Math Problem Statement

15=25⋅tan(65∘)−21​(9.81)⋅v02​cos2(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