The students in mr. collins class used a surveyors measuring devices to find the angle from their location to the top of a building. the also measured their distance from the bottom of the building.
the diagram shows the angle measure and the distance.
to the nearest foot, find the height of the building.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm