7.6 Right Triangles

Ex 1) Solve the right triangle that has c = 33 and B = 22  B A Sketch the  A, B, C = angles a, b, c = sides (opp the  ) C All 3  ’s All 3 sides b a c 22  = 33  ’s in a  add to 180 

Ex 1) Solve the right triangle that has c = 33 and B = 22  B A C All 3  ’s All 3 sides b a c 22  Use trig functions to find sides = 33 SOH CAH TOA 68 

Example 2 A guy wire on vert. utility pole is anchored at a point on level ground 18 feet from the base of the pole. If the wire makes an angle of 63  with ground, how long is the wire? x 63  18 Know adj side Need hypotenuse CAH

Angles of Elevation & Depression Line of sight horizontal Observer Angle of elevation Object Line of sight horizontal Observer Angle of depression Object

Parallel Lines Two Parallel Lines alternate interior angles are congruent cut by transversal

Example 3 From the top of a tower 300 feet high, the angle of depression of a rock is 35.7  Find the distance from base of tower to rock. 300 x rock 35.7  Know opp side Need adj side 35.7  TOA

Homework #718 Pg – 29 eoo, 33 – 41 odd