Mary is standing out on the balcony of her apartment which is 40 feet above the ground and looks up at a 31° angle to see her friend Sue who is standing on her balcony. If Mary and Sue's apartments are 20 feet apart from one another, how high off the ground is Sue?

52 feet

Step-by-step explanation:

This situation can be represented by the attached figure as in the answer area.

Let M be the location of Mary.

Let S be the location of Sue.

Distance between apartments is given as 20 feet.

Distance between ground and balcony of Mary is 40 feet.

There is a right angled .

To find:

The distance SO + 40 feet.

We can use tangent ratio here in right angled .

Height of Sue above ground = 40+12 = 52 feet

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.