Answer:
The length of the shadow is 3.17 feet .
Step-by-step explanation:
Given as :
The height of the person walking on street = H = 5'6''
∴ 12" = 1 '
So, 6" = 
× 6 = 0.5'
I.e H = 5.5 feet
The angle of elevation of from tip of shadow to sun = Ф = 60°
Let The length of the shadow = X feet
<u>Now, From figure</u>'
Tan angle = 
Or, Tan Ф = 
Or, Tan 60° = 
Or, Tan 60° = 
Or, 1.732 =
Or, X = 
∴ X = 3.17 feet
So, The length of the shadow = X = 3.17 feet
Hence, The length of the shadow is 3.17 feet . Answer
Answer:
c + d = 400
0.2c + 0.5d = 156
Step-by-step explanation:
Let
c = number of liters of 20% acid solution
d = number of liters of 50% acid solution.
c + d = 400 (1)
0.2c + 0.5d = 400(0.39)
0.2c + 0.5d = 156 (2)
From (1)
c = 400 - d
Substitute c = 400 - d into (2)
0.2c + 0.5d = 156 (2)
0.2(400 - d) + 0.5d = 156
80 - 0.2d + 0.5d = 156
- 0.2d + 0.5d = 156 - 80
0.3d = 76
d = 76/0.3
d = 253.33 liters
Substitute d = 253.33 into (1)
c + d = 400
c + 253.33 = 400
c = 400 - 253.33
c = 146.67 liters
Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
H is 2.5 because 2.5 x 2 is 5 and then you do 5 + 15 and you get 20
