A golden rectangle has side lengths in the ratio of about 1: 1.618 if the long side of a golden rectangle is 35 cm what is its a
1 answer:
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9514 1404 393
Answer:
- b = 757.7 m
- A = 17.2°
- C = 14.3°
Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
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From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
This is a proportion question. We can express this as an equation where the answer is x:
= 
From there, you can just cross-multiply and divide to get:
A tenth of 250 is 25, so this is roughly
or 
, so it'll be approximately 1.7 inches on the map.
From there, you can just cross-multiply and divide to get:
A tenth of 250 is 25, so this is roughly