4 1 RIGHT TRIANGLE TRIGONOMETRY Review Opposite e

4. 1 RIGHT TRIANGLE TRIGONOMETRY

Review � Opposite e us en ot yp H θ Adjacent

Reciprocal Trig Functions

Example 1 �Find the values of the six trigonometric functions for angle G.

Example 2 �

Example 3 �

Find a missing side �Example 4: Find the length of y.

Example 5 �Solve ∆ABC.

Example 6 �Find the value of x.

Example 7 A � Write an equation involving sine, cosine, or tangent that can be used to find the value of x. Then solve the equation. Your answer should be exact! 30 x 5

Example 8 � A) Find the measure of A. Round to the nearest tenth if necessary. � B. Find the measure of B. Round to the nearest tenth if necessary.

Example 9 �Find the measure of A.

Solve ∆ABC **Notice that angles are capital letters, and the sides opposite these angles are the same letter, but lowercase. B 14 A b 6 C

Angle of Elevation vs. Angle of Depression �Horizontal line of sight up to or down to an object

Example 1 A ground crew worker who is 6 feet tall is directing a plane, 150 feet in the air, onto a runway. If the worker sights the plane at an angle of elevation of 32 o, what is the horizontal distance from the worker to the plane.

Example 2 Mario hits a line drive home run from 3 feet in the air to a height of 125 feet, where it strikes a billboard in the outfield. If the angle of elevation of the hit was 22°, how far in the air did it travel?

Example 3 �A hot air balloon that is moving above a neighborhood has an angle of depression of 28 o to one house and 52 o to a house down the street. If the balloon is 650 ft. in the air, estimated the distance between the two houses.

Example 4 �Two cars are parked 22 feet apart. The angles of elevation from the cars to the top of an apartment building are 48 o and 64 o respectively. How tall is the apartment building?