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I'll use an online z table: http://www.tutor-homework.com/statistics_tables/statistics_tables.html
You could also use Excel or the table in your textbook.
Each of these questions is solved with the table.
(a) What is the probability that a tree's height exceeds the mean?
prob(z > 0)
(b) Exceeds the mean by at least 1 standard deviation?
prob(z > 1)
(c) Exceeds the mean by at least 3 standard deviations ?
prob(z > 3)
(d) Is within 1.5 standard deviations?
prob(-1.5 < z < 1.5)
Let me know if you have any questions, and if you're set, thanks for accepting!