Solved Problems

Problem 1: A surveyor is standing 50 meters from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as $71.5^\circ$. How tall is the tree?

Problem 2: Two ships leave a port at 9:00 AM. Ship A travels at a bearing of $\text{N } 53^\circ \text{ W}$ at 12 mph, and Ship B travels at a bearing of $\text{S } 67^\circ \text{ W}$ at 16 mph. How far apart are they at 12:00 PM?

Problem 3: Solve $\triangle ABC$ where $\angle A = 40^\circ, a = 20, c = 25$.

Problem 4: Find the area of a triangle with sides 7, 8, and 9.