Two broad goals achieved by the decisions written by john marshall were:
a. declaring the tariff of 1816 unconstitutional
b. establishing the importance of the supreme court
c. reducing sectional differences
d. strengthening the federal government e. strengthening states' rights

Two broad goals achieved by the decisions written by John Marshall were "b. establishing the importance of the Supreme Court," (since he established the idea of "judicial review" and "d. strengthening the Federal government," since he made the Supreme Court far more powerful over the states. 

Remember soh-cah-toasoh: cah: toa: now, looking at the picture we can see that we have an angle, the hypotenuse and want to find the value of the adjacent side to the angle. so we use cah to find the adjacent angle. plug in what we have: we need to solve for x now so we get it by itself on one side: plug this into your calculator and you'll find that: