Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
Tan(35)=ck/cd
0.7= ck/3
ck=2.1
Tan(65)=cj/cd
2.1=cj/3
cj=6.3
jk=6.3-2.1=4.2
We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
Answer:
36°
Step-by-step explanation:
The image of the question is obtained online and attached to the solution of this question.
The tent pole is the line in the middle of the triangle and it is stated explicitly in the question that this tent pole bisects the angle that the two sides make with each other at the top.
So, the angle that the tent pole makes with each side = (72°/2) = 36°
Hope this Helps!!!
The cosine function 
meets the y axis at the point 
In fact, you have 
