Trigonometry Word Problems

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Presentation transcript:

Trigonometry Word Problems Right Triangles Lesson 6

Do Now 1. Solve the right triangle. 2. Solve for the length of AC.

Trig Word Problems Notes To solve a Trigonometry Word Problem: 1. Draw and Label a Picture!!!!! 2. Set up an equation 3. Solve for the missing piece

Class Example 1 A 16-foot ladder is propped against a building. The angle it forms with the ground measures 55. How far up the side of the building does the ladder reach?

Class Example 2 A plane is one mile above sea level when it begins to climb at a constant angle of 2 for the next 70 ground miles. How far above sea level is the plane after its climb?

Class Example 3 A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite?

Student Example 1 A ladder leaning against the wall makes an angle of 74° with the ground. If the foot of the ladder is 6.5 feet from the wall, how high on the wall is the ladder?

Student Example 2 A straight road to the top of a hill is 2500 feet long and makes an angle of 12° with the horizontal. Find the height of the hill.

Student Example 3 An airplane climbs at an angle of 11° with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 feet.