Respuesta :
Answer:
The answer to your question is angle = 18.46°
Explanation:
Data
d = 75 m
v₀ = 35 m/s
α = ?
Formula
[tex]d = \frac{vo^{2}sin2\alpha}{g}[/tex]
solve for sin2α
sin 2α = [tex]\frac{dg}{vo^{2}}[/tex]
Substitution
sin 2α = [tex]\frac{75(9.81)}{35^{2}}[/tex]
Simplify
sin 2α = [tex]\frac{735.75}{1225}[/tex]
Divide
sin 2α = 0.600
Get sin⁻¹
2α = 36.9°
Divide by 2
α = 18.5°