A closed umbrella casts a shadow when the sun shines at a 16.3-degree angle to the ground. how tall is the top of the umbrella to the nearest foot ?

Step-by-step explanation:

You need to analize the picture attached.

You can use the following Trigonometry Identity:

 Let call "h" the height in feet of the umbrella.

In this case you can identify that:

Therefore, kwnowing these values you can substitute them into   and solve for "h" in order to find its value.

Applying this procedure, you get that the height of this umbrella is:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed