Answer:
Length of shadow (Base) = 8 ft
Step-by-step explanation:
Given:
Height of man (Perpendicular) = 6 ft
Length from head to shadow (Hypotenuse) = 10 ft
Find:
Length of shadow (Base)
Computation:
Base = √Hypotenuse² - Perpendicular²
Base = √10² - 6²
Length of shadow (Base) = 8 ft
<span>11.9
Actually providing the diagram would be useful. Also, distinguishing between upper and lower case would also be useful. But given the convention that angles and the opposite side of the triangle are both given the same letter, but different case, I will assume that angle Q is opposite side q and that you have a situation of SAS. So using the law of cosines we have:
c^2 = a^2 + b^2 - 2ab cos C
Substitute the known values:
c^2 = a^2 + b^2 - 2ab cos C
c^2 = 20^2 + 30^2 - 2*20*30*cos 15
c^2 = 400 + 900 - 1200*0.965925826
c^2 = 400 + 900 - 1159.110992
c^2 = 140.8890085
c = 11.86966758
Rounded to the nearest tenth, gives 11.9</span>
Ratio: 4:5 or 4/5
This means that for every 4 males, there are 5 females
There are 160 males at the fair, so divide 160 by 4 to get 40
Then, multiply 40 by 5 to get 200
That means that if there are 160 males at the fair, there are 200 females.
I hope this helps! :)
16+9 is 25 so that's he answer