The person is 6 feet tall and casts a
shadow of 3 feet. The building casts a
shadow of 20. Which ratio can be used to
calculate the height of the building?

6/3 = x/20

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The person is 6 feet tall and casts a shadow of 3 feet.

The ratio is: height of the person/ shadow length = 6/3

For a 20 ft shadow:

x /20

So:

Height of the person / shadow of the person= height of the building / shadow of the building

6/3 = x/20

Solving for x:

6/3 (20) = x

x = 40 feet

Feel free to ask for more if needed or if you did not understand something.  

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.