How does the appearance of each phase of the moon relate to the moon’s position relative to Earth and the sun?
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Ответ:
Explanation: Since ∠Q is 90°, ΔOPQ is a right triangle. So, there are hypotenuse, opposite side and adjacent side. And there the trigonometric relations: sine, cosine and tangent.
The image of the triangle is below.
Side
is opposite to the measure of ∠O and the length required is the adjacent side to the m∠O. According to the trigonometric relations:
Substituing:
Using a calculator, tan(5) = 0.0875:
The length of
to the nearest tenth of a foot is 53.68 feet.