Rewrite 300 in simplest radical form?

10√3

Step-by-step explanation:

First we write the square root of 300 like this:

√300

The largest perfect square of the factors of 300 is 100. We can therefore convert √300 like this:

√100 × 3

Next, we separate the numbers inside the √ as such:

√100 × √3

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 300 in simplest radical form as follows:

10√3

12 yards

Step-by-step explanation:

From. The picture attached, we could obtain the angle of elevation, θ from the curb of the street to the top of the building.

Using trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = 30 yards

Adjacent = 40 yards

Tanθ = 30/40

θ = tan^-1(0.75)

θ = 36.869897°

Distance between curb of street and flagpole :

(40 - 24) yards = 16 yards

Let height of flagpole = h

Tanθ = opposite / Adjacent

Opposite = h yards

Adjacent = 16 yards

Tan36.869897 = h/16

0.75 = h / 16

h = 0.75 * 16

h = 12 yards