According to the
https://books.google.com.ua/books?id=QwzwfMr8qncC&pg=PA42&lpg=PA42&dq=a+body+is+thrown+at+some+angle+from+the+ground&source=bl&ots=R_M9bVR11W&sig=ACfU3U2YLUIzaQmA6YBa0BcaKK-Pc4UjgA&hl=ru&sa=X&ved=2ahUKEwjzmtP-p7bqAhVn2aYKHT2DBwYQ6AEwC3oECAkQAQ#v=onepage&q=a%20body%20is%20thrown%20at%20some%20angle%20from%20the%20ground&f=false
the x-coordinate of the shell changes by the following law:
where is the initial velocity, is time and is the launch angle.
The maximum distance that the shell can cover in x-direction is:
Due to the symmetry of the problem, the shell reaches the maximum height when it reaches exactly half of the . Thus, substituting the into the first equation and expressing , obtain
Substituting numerical values, get:
Answer. 6.9 s.
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