Answer:
there are 4 boys for every 5 girls.
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
The length of the shadow is 14.2 m
Right angle triangle:
Right angle triangle has one of its sides as 90 degrees.
The height of the building is the opposite side of the triangle.
The distance from the top of the building to the tip of the shadow is 35 m is the hypotenuse side.
The length of the shadow is the adjacent side of the triangle.
Therefore,
c² = a² + b²
b² = 35² - 32²
b² = 1225 - 1024
b² = 201
b = √201
b = 14.17
b = 14.2 m
Hence the length of the shadow is 14.2 m.
learn more about right triangle here:
brainly.com/question/4278699
#SPJ9
Step-by-step explanation:
you can draw a venn diagram in this way.
