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:

hi,

i'm 75% sure the answer is 1,1 to both lines.

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