Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 90 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 22°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 36.36 feet 83.45 feet 128.67 feet 222.76 feet

Distance between  building and sculpture is 222.75 feet

Step-by-step explanation:

Given:

Height of window (P) = 90 ft

Angle of depression = 22°

Find:

Distance between  building and sculpture(B):

Computation:

Using trigonometry application:

Tan 22° = P/B

0.4040 = 90 / B

B = 222.76 ft (Approx)

Distance between  building and sculpture is 222.75 feet

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".