What's the answer to this problem I'm stuck
1 answer:
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Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.
In this case:
Substitute 6 for H1 and 0.8 for Scale Factor
Hence, the height of the smaller triangle is 4.8 inches