A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? 50 71.5° ? tan 71.5° y = 50 (tan 71.5°) y = 50 (2.98868) Ex.
A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? 200 x Ex. 5 60° cos 60° x (cos 60°) = 200 x X = 400 yards
Now you know three ways to find parts of a right triangle: 1.Pythagorean Theorem – If you know two sides, then use to find the third side. 2.Special Right Triangles- If it is a 30-60-90 or 45-45-90, then follow the pattern to find the side lengths. 3.Right Triangle Trigonometry- Use Sin, Cos, and Tan (Soh Cah Toa) ratios to solve for sides and angles of a right triangle.