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Trigonometry
Opening routine
Trigonometry
Opening routine
sin 75o = h / 12
sin 75o = 0.96
h / 12 = 0.96
h = 12  0.96
h = 11.6
Trigonometry
Opening routine
sin 60o = h / 12
sin 60o = 0.86
h / 12 = 0.86
h = 12  0.86
h = 10.4
The difference is:
11.6  10.4 = 1.2
The correct answer is A.
The height the ladder
reaches on the building
will be about 1.2 feet lower.
Unit 2:
Similarity, Proof and
Trigonometry
Lesson 14 Solving Problems with Right
Triangles
Objective: Understand that by similarity, side
ratios in right triangles are properties of the angles
in the triangle, leading to definitions of
trigonometric ratios for acute angles.
Essential Question: How the angles of elevation
and depression can be use to find the distance
between two objects?
Lesson 14 Solving Problems with Right
Triangles
Vocabulary
Hypotenuse: Is the longest side of the right
triangle and is the side opposite the right angle.
Leg of a right triangle: Either of the sides in a
right triangle opposite an acute angle. The legs
are the two shorter sides of the triangle.
Adjacent leg: Is the leg that is part of the angle.
Opposite leg: Is the leg that is not part of the
angle.
Lesson 14 Solving Problems with Right
Triangles
Vocabulary
Sine: In a right triangle, is the ratio of the length of the
side that is opposite that angle to the length of the
longest side of the triangle (the hypotenuse).
Cosine: In a right triangle, is the ratio of the length of
the adjacent side to the angle to the length of the
hypotenuse.
Tangent: In a right triangle, is the length of the
opposite side divided by the length of the adjacent
side.
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Lesson 14 Solving Problems with Right
Triangles
Guided Practice – WE DO
Lesson 14 Solving Problems with Right
Triangles
Independent Practice – YOU DO
Group 1 Questions 1 and 7 page 114 -115
Group 2 Questions 2 and 8 page 114 - 115
Group 3 Question 3 page 114
Group 4 Question 4 page 114
Group 5 Question 5 page 114
Group 6 Question 6 page 114
Lesson 14 Solving Problems with Right
Triangles
Independent Practice – YOU DO
Lesson 14 Solving Problems with Right
Triangles
Independent Practice – YOU DO
Lesson 14 Solving Problems with Right
Triangles
Independent Practice – YOU DO
Lesson 14 Solving Problems with Right
Triangles
Independent Practice – YOU DO
Lesson 13 Relationships between
Trigonometric Functions
Re-teach MAFS.912.G-SRT.2.5: Use congruence and similarity
criteria for triangles to solve problems and to prove
relationships in geometric figures.
Math Nation Section 7 Topic 1 Independent Practice
Lesson 13 Relationships between
Trigonometric Functions
Re-teach MAFS.912.G-CO.3.9: Prove theorems about lines
and angles; use theorems about lines and angles to solve
problems.
Math Nation Section 3 Topic 6 Independent Practice
Lesson 13 Relationships between
Trigonometric Functions
Re-teach MAFS.912.G-CO.3.10: Prove theorems about
triangles; use theorems about triangles to solve problems.
Theorems include: measures of interior angles of a triangle
sum to 180°; base angles of isosceles triangles are congruent;
the segment joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the medians of
a triangle meet at a point.
Math Nation Section 8 Topic 4 Independent Practice
Lesson 13 Relationships between
Trigonometric Functions
Closure
Essential Question: How trigonometric
functions of the angles in a right triangle
are related??
Lesson 13 Relationships between
Trigonometric Functions
Homework
Similar Triangles Worksheet
Due Monday November 28, 2016