Aim: What is trigonometric function? B Do Now: Given ∆ ABC, find Sin A Cos A Tan A c a in terms of a,b and c C A b

C Given an equilateral triangle ABC, CD is the height and bisects the base AB making two congruent right triangles Show that: A D B

Given ∆ABC, A = 30, B = 60 Find the ratio of Sin A Cos A Tan A B C

∆ABC is an isosceles right triangle, Find the ratio of Sin A Cos A Tan A C A

30 45 2 1 45 60 1 1 There are two special right triangles that have a fixed ratio on three sides: 30- 60 - 90 45 - 45 - 90 1 - - 2 1 - 1 -

If BC = 6, Find the length of a) AB b) AC 60 6 A 30 C If BC = 6, Find the length of a) AB b) AC B 60 8 A 30 C From the diagram, find the length of AC and BC

From the diagram, find the length of AB and AC 45 From the diagram, find the length of AB and AC 3 45 A C A From the diagram, find the length of AC and BC 45 10 45 B C

The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Which equation can be used to find the height of the tree?

A surveyor needs to determine the distance across the pond shown in the accompanying diagram. She determines that the distance from her position to point P on the south shore of the pond is 175 meters and the angle from her position to point X on the north shore is 32°. Determine the distance, PX, across the pond, rounded to the nearest meter.

The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site. If the ramp forms an angle of 32° with the ground, how high above the ground, to the nearest tenth, is the top of the ramp?

Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram.