If for every 12 blue streamers there is 9 gold streamers, how many blue streamers will I have if I have 36 gold streamers?
1 answer:
Answer:
You will have 48 blue streamers.
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
We have that:
For 12 blue streamers, there are have 9 gold streamers. How many blue streamers are there when there are 36 gold streamers?
12 blue - 9 gold
x blue - 36 gold
Applying cross multiplication
Simplifying by 9
You will have 48 blue streamers.
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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:
Convert to degrees
Convert to degrees
So, the measure of angle S is:
---- Sum of angles in a triangle
The required distance is distance AB
This is calculated using the following sine formula:
Where:
So, we have:
Make AB the subject
Hence, the distance between both lighthouses is 5783.96 m
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