Question

7. Work out the length of side s to 3 significant figures.
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Answer 1

s = 3.381cm

Explanation:

We know all the angles because a triangle's angles add up to 180°.

So, we have 90, 65, and 25° angles in this triangle.

To find, s, of this triangle, we need to use Sin because Sin uses the angle opposite of the side, which is 25°.

I am assuming you know your trigonometry, but I attached an image that will help too.

So, we have Sin(25) = opposite/hypotenuse.

We have the length of the hypotenuse, 8cm. So plug it in.

And solve for opposite, which is the side, s.

Sin(25) * 8 = opposite.

3.381cm = s.

Hope this helps

Answer 2

3.38

Explanation:

soh cah toa

cah = cos

cos(65)= s/8

s = cos(65)×8

s= 3.38