More Practice with the Trigonometric Functions Section 4

More Practice with the Trigonometric Functions Section 4. 2 b

Applications of Right Triangle Trigonometry How many “parts” are in every triangle? Six 3 angles and 3 sides If we have any three of these parts, we can usually find the other three… This process is called solving a triangle

Solving Right Triangles A right triangle with a hypotenuse of 8 includes a 37 degree angle. Find the measures of all of the other parts of the triangle. First, the missing angle: Start with a diagram: 180 – 90 – 37 = 53 8 37 a b Use trig. to find the other sides:

Solving Right Triangles Use the given information to completely solve the triangle. B a C c b A

Solving Right Triangles Use the given information to completely solve the triangle. B a C c b A

Solving Right Triangles From a point 340 feet away from the base of Peachtree Center Plaza in Atlanta, GA, the angle of elevation to the top of the building is 65. Find the height h of the building. The diagram? h 65 340 ft feet

Whiteboard Problems Kirsten places her surveyor’s telescope on the top of a tripod 5 ft above the ground. She measures an 8 degree elevation above the horizontal to the top of a tree that is 120 ft away. How tall is the tree? feet

Whiteboard Problems A climber falls from the top of a cliff and is stuck on a ledge some distance off the ground. A rescue party is currently 1200 ft from the base of the cliff, and spots the climber and the top of the cliff at angles of 55 and 62 , respectively. How far did the climber fall? feet