The angle of depression from the top of a cruise ship to the top of a sailboat is 22° . Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat

The distance between the cruise ship and the sailboat is 517.29 feet

Step-by-step explanation:

see the attached figure to better understand the problem

The point A is the top of a cruise ship

The point B is the top of a sailboat

Let

x ---> the distance between the cruise ship and the sailboat (EB=DC)

we know that

In the right triangle ABE

---> by TOA (opposite side divided by adjacent side)

we have

substitute

solve for EB

therefore

The distance between the cruise ship and the sailboat is 517.29 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.

a rotation about point l

step-by-step explanation:

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