Given:
Height of man = 6 ft
Height of man's shadow = 11 feet
Height of building's shadow = 139 feet
To find:
The height of the building.
Solution:
We know that the heights of the objects and there shadows are always proportional.

Let x be the height of the building.

Multiply both sides by 139.




Therefore, the building is 75.8 feet long.
Answer:
Dimensions will be
Length = 7.23 cm
Width = 7.23 cm
Height = 9.64 cm
Step-by-step explanation:
A closed box has length = l cm
width of the box = w cm
height of the box = h cm
Volume of the rectangular box = lwh
504 = lwh

Sides which involve length and width and height, cost = 3 cents per cm²
Top and bottom of the box costs = 4 cents per cm²
Cost of the sides
= 3[2(l + w)h] = 6(l + w)h
= 3[2(l + w)h]

Cost of the top and the bottom
= 4(2lw) = 8lw
Total cost of the box C =
+ 8lw
=
+ 8lw
To minimize the cost of the sides


---------(1)


-------(2)
Now place the value of w from equation (1) to equation (2)


l³ = 378
l = ∛378 = 7.23 cm
From equation (2)


w = 7.23 cm
As lwh = 504 cm³
(7.23)²h = 504

h = 9.64 cm
<span>•<span>If
the raw score is transformed into a z-score, however, the value of the z-score
tells exactly where the score is located relative to all the other scores in
the distribution. </span></span>
sqrt(81) = 9
sqrt(100) = 100
sqrt(92) is between 9 and 10.
Answer: 10
57 degrees because vertical angles are the same measure