After a windstorm, a leaning pole makes a 75° angle with the road surface. the pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. about how long is the pole?
11.0 ft.
12.2 ft.
16.7 ft.
20.5 ft.

Find out the length of the pole.

To prove

As given

After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation.

As shown in the diagram given below.

In the ΔABC

Using the angle sum property of a triangle .

∠A + ∠B + ∠C = 180°

y + 75 + 45 = 180

y = 180 - 120

y = 60°

Let us assume that the length of the pole be x.

Now using the sine rule

BC = 15 foot

sin45° =  0.71 (Approx)

sin60° = 0.87 (Approx)

Put in the above

x = 12.2 foot

Therefore the length of the pole is 12.2 foot.

B. 12.2

Step-by-step explanation:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.