Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.
Answer:
32
Step-by-step explanation:
because 1 quart equals 4 cups so 8x4=32
Answer:
35/6 yards
Step-by-step explanation:
f(x) increase by a factor of 3
Explanation:
Given that f(x)= 3* and the interval is x=4 to x=57
Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.
Because the x is multiplied with 3 i.e., 3*
So f(x) increase by a factor of 3.
If we put x=4, then f(x)= 12 (∵ 3×4=12)
If we put x=5, the f(x)= 15 (∵ 3×5=15)
If we put x=6,the f(x)= 18 (∵ 3×6=18)
similarly., values of x= 7,8,9,...155.
Then,
If we put x=56, the f(x)=168
This process will continue until f(x)=171 for x=57.
4 times 25= 100 100 times 7= 700
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