Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32
1) From building 1 to 2: 5 - (-3) = 8
2) From 2 to 3: 4 - (-5) = 9
3) From 3 to 4: 5 - (-3) = 8
4) From 4 to 1: 4 - (-5) = 9
Total: 8 + 9 + 8 + 9 = 34 units = 34*100 feet = 3400 feet.
Answer: 3400 feet
So .27 means .27/1 or 2.7/10 or 27/100 or 270/1000 and so on
