Solve the equation for y: 16-12x=4y

16 - 12x = 4y

First, divide both sides by 4. / Your problem should look like: \frac{16-12x}{4} = y
Second, factor out the common term 4. / Your problem should look like: \frac{4(4-3x)}{4} = y
Third, cancel 4. / Your problem should look like: 4 - 3x = y
Fourth, switch sides. / Your problem should look like: y = 4 - 3x

y = 4 - 3x

54°

Step-by-step explanation:

We are required to find the angle of elevation. We were given the distance between location of the woman and the floor of the building as well as the distance between the floor of the building to the fire truck.

the distance between location of the woman and the floor of the building = 67ft

the distance between the floor of the building to the fire truck = 47ft

Find attached the diagram obtained from the information.

We would apply tangent ratio, since we know the opposite(67ft) and the adjacent (48ft)

Tanθ = opposite/adjacent

Tanθ = 67/48

Tanθ = 1.3958

θ = arctan(1.3958)

θ = 54.38°

θ = 54° (nearest degree)

The angle of elevation, to the nearest degree, that the firefighter should

extend the ladder to reach the woman = 54°