4.8 Applications and Models using Trigonometry. Given one side and an acute angle of a right triangle Find the remaining parts of the triangle.

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Presentation transcript:

4.8 Applications and Models using Trigonometry

Given one side and an acute angle of a right triangle Find the remaining parts of the triangle.

Given one side and an acute angle of a right triangle Find the remaining parts of the triangle.

Given one side and an acute angle of a right triangle Find the remaining parts of the triangle.

Given one side and an acute angle of a right triangle Find the remaining parts of the triangle. For Angle B

Find of an object in the distance Finding the height of a tree on a mountain.

Find of an object in the distance Finding the height of a tree on a mountain.

Find of an object in the distance Finding the height of a tree on a mountain.

Trigonometry and Bearings Bearing is an acute angle based off the North - South line. N 38º W

A nautical problem A yacht is going 14 knots East for 3 hours, then turns N 42º E for an hour. How far from port is the yacht.

A nautical problem Need to find a hypotenuse of a larger triangle. To find the distance.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and the distance to add.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and the distance to add.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and the distance to add.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and the distance to add.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and the distance to add.

A nautical problem The extension helps us find the hypotenuse. We have a few angles and thedistance to add.

Harmonic Motion (Doing the Wave) Way of writing the Sine function or Cosine function with time. d = a Sin wtor d = a Cos wt d is the distance from the origin or Equilibrium a is for amplitude; w is like b in the normal function (changes period) Period =Frequency =

Homework Page 338 – 342 # 3, 11, 16, 21, 26, 31, 36, 41, 47, 53

Homework Page 338 – 342 # 9, 14, 19, 24, 27, 33, 40, 43, 52, 55