More Practice with the Trigonometric Functions Section 4.2b

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 s ss 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. Start with a diagram: 37 8 a b First, the missing angle: 180 – 90 – 37 = 53 Use trig. to find the other sides:

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

Use the given information to completely solve the triangle. CA B 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? ft h 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