A scale model of the Vancouver Olympic cauldron is to be built in memory of the 2010 Olympics. If the scale to be used is 1:27,
1 answer:
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Answer:
a =
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up =
Ok, from your picture, it looks like you have a square and a right triangle next to each other
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?