In ΔABC , angle C is a right angle.
1 answer:
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
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Given :
The scale for a map to actual distance is 2 cm to a 100 miles.
To Find :
He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.
Solution :
2 cm of map shows 100 miles of actual distance.
So, 1 cm of map shows 50 miles of actual distance.
Now, 5.4 cm of map will show :
Therefore, distance between Los Angeles and Las Vegas is 270 miles.
Hence, this is the required solution.
Here you go!!! I hope this helps!!! Have a merry Christmas!!
