What is the range?

A projectile is launched at an angle of 10 and lands 30 s later at the same height as it was launched.
What is the range?
Input your answer in m in scientific e-notation using 3 significant figures.

Solution

θ = 10°
t = 30s
x = ?

v cos(θ) t = x
gt = 2vsin(θ)

v=gt /(2sin(θ))

gt /(2sin(θ)) cos(θ) t = x

gt

²

 cot(θ) /2 = x

x = gt² cot(θ) /2
θ = 10°
t = 30s

g=9.8 m/s²

WolframAlpha: 
 find x: θ = 10 degrees, t = 30, g=9.8, x = g*t² cot(θ) /2 

https://www.wolframalpha.com/input?i=+find+x%3A+%CE%B8+%3D+10+degrees%2C+t+%3D+30%2C+g%3D9.8%2C+x+%3D+g*t%C2%B2+cot%28%CE%B8%29+%2F2 


Google Search:

9.8 m/s^2*(30s)^2*cot(10deg)/2 in m