book Maths Puzzle Numerical Ability

5y+34=3x

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Sarah is visting a friend about two miles away from her house. she sees a hot-air balloon directly above her house. Sara estimates that the angel of elevation formed by the hot-air balloon is about 15 degrees. about how high is the hot-air balloon? find all values for k such that the equation 3x squared - 2x + k = 0 has imaginary roots