Trigonometry and the Pythagorean Theorem
a. What common right triangle was probably modeled in the construction of the triangle in Figure 2? Use sin 53° ≈ 0.8. b. The actual angle between the base and lateral faces of the pyramid is actually closer to 52°. Considering the age of the pyramid, what could account for the difference between the angle measure in part (a) and the actual measure? c. Why do you think the architects chose to use a 3–4–5 as a model for the triangle?
Show why tan 𝜃 = sinθ/cosθ
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