Question

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?
11.0ft
12.2ft
16.7ft
20.5ft

Answer 1

Answer:

12.2 ft

Step-by-step explanation:

Let length of pole be l.

In triangle ACD.

cos75 =x/l    ...............................1

In triangle ABD  

tan45 =1 = lsin(75)/(15-x)     ..........................2

Now solve this linear equations

l(sin75 + cos75) =15

Square on both side

$l^{2}=\frac{225*2}{3}$

length of pole =12.2 ft