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32 votes
32 votes
If a = 6 and B = 40 degrees,find b.

User Jonathan Rowny
by
2.9k points

1 Answer

21 votes
21 votes

Ok, so

We want to find the side b.

For this, we can use the trigonometric functions, as this:

We know that tan(x) relations the opposite side of the angle and its adjacent side. So, we replace:

tan(x) = opposite side / adjacent side

Now,

tan(40°) = b / 6.

We can find b multiplying tan(40°) * 6

Remember that tan(40°) is a number, and this is 0,839 approximately.

So, b is equal to 0,839*6, and this is 5.03

Rounded to the nearest tenth: The answer is 5.0

If a = 6 and B = 40 degrees,find b.-example-1
User Stanislav Felshtyn
by
2.5k points
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