Chapter 4.7 Solutions of Triangles

Chapter 4.7Solutions of TrianglesTrigonometric Functions

Right Triangles

Solving Triangles

Example 4.7.1

Angle of Elevation

Angle of Depression

Example 4.7.2To measure cloud altitude at night, a vertical beam of light is directed on a spot on the cloud. From a point 135 ft away from the light source, the angle of elevation to the spot is found to be 67.35o. Find the distance of the cloud from the ground.

Example 4.7.3An aerial photographer who photographs farm properties for a real estate company has determined from experience that the best photo is taken at a height of approximately 475 ft and a distance of 850 ft from the farmhouse. What is the angle of depression from the plane to the house.

Oblique Triangles

Law of Sines

Law of Cosines

Example 4.7.4