The answer is 5 ^24 by multiplying -6 and -4
A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is
. We hav to find the value of
.
Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.
Since, 1 feet = 12 inches.
6 feet =
inches.
Now, let us consider the triangle ABC in the attached image,
We have to find

= 
= 1.309

We see that 12% of the cookies is 36, so we write an equation! Call the number of cookies x.
12x/100=36
Multiplying by 100/12, we see that:
x=300
Thus, 300 cookies were ordered.
Answer:
x = 7
Step-by-step explanation:
Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.
Then, m∠TUV = m∠ TUW + m ∠ WUV
Given m∠TUV = (9x + 1), m∠ TUW = (7x - 9) and m ∠ WUV = (5x - 11)
Substitute these values in (i) we get
9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 7x + 5x - 9 - 11
9x + 1 = 12x - 20
12x - 9x = 1 + 20
3x = 21
x = 21/3
x = 7