Just simple proportions:
12(apples) x(apples)
-------------- = --------------
4(oranges) 7(oranges)
12*7 = 84
84/4 = 21
There are 21 apples + 7 oranges = 28 apples and oranges!
Combining like terms would be defined as multiplying each term in a set of parentheses by the number outside of the parentheses.
We have been given a right angled triangle, hypotenuse is known, and angle has been given. we need to find the adjacent side to the angle.
we use trigonometry ratios.
the ratio where we relate the hypotenuse and adjacent side is the cosine.
cos θ = adjacent side / hypotenuse
where θ = 39°
hypotenuse - 17 m
adjacent side - x
we need to solve for x
cos 39° = x / 17
cos 39° = 0.77
0.7771 = x/17
x = 0.7771 x 17
x = 13.21 m
distance from Roman's feet to the base of the pole is 13.21
