There are 2 boys for every 3 girls in Sappy Sunshine Childcare center. If there are a total of 171 girls at the center, how many boys are there? (do not include units in your answer, just the number)

114 boys

Step-by-step explanation:

This question can be solved using a rule of three.

For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?

2 boys - 3 girls

x boys - 171 girls

Simplifying both sides by 3

There are 114 boys there

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,