1. 15A – 15D Right Triangle Trigonometry
Unit 6: Geometry and Trigonometry
15A, 15B, 15C, 15D
5/16/ :19 AM

2. Trigonometry Greek for “triangle measure”
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Greek for “triangle measure”
trig ratios relate a right triangle’s acute angle measure to the ratio of two of its side lengths
o: opposite leg a: adjacent leg h: hypotenuse
“opposite” and “adjacent” to the acute angle 𝜃
regular:
reciprocal:
15A, 15B, 15C, 15D
5/16/ :19 AM

3. Solving a Right Triangle
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means you find all angle measures and side lengths
regular trig ratios help you find a side length with a given side length and an acute angle measure (choose the ratio that relates all three)
inverse trig ratios allow you to find acute angle measures with two side lengths
inverse:
15A, 15B, 15C, 15D
5/16/ :19 AM

4. Special Right Triangles
halves of two regular, Euclidean figures
half of a square half of a regular triangle
triangle triangle
“right isosceles triangle”
with one side length, you can find both remaining sides
30º
45º
45º
60º
15A, 15B, 15C, 15D
5/16/ :19 AM

5. Terminology
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angle of elevation: formed by line of sight and the horizontal when an observer looks upward angle of depression: formed by line of sight and the horizontal when an observer looks downward
15A, 15B, 15C, 15D
5/16/ :19 AM

6. Practice
p. 447: 2 p.448: 2ac, 4 p. 451: 2ah, 4b p. 453: 1ag, 3a, 4c p. 458: 1, 4-6, 9, 11 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check answers for the odd-numbered questions.
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15A, 15B, 15C, 15D
5/16/ :19 AM