Answer
The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.
Step-by-step explanation:
The length of the monkeys rope = 75 feet long
Each side of the hexagon shaped facility = 30 feet
Note that, 1 feet = 0.3048 m
if we convert 30 feet to Meter, we have,
30 × 0.3048 = 9.144
Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building
75 feet × 0.304 meter = 22.86 meters.
So the total area the monkey will be able to cover will be
= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.
Answer:
![\frac{\sqrt{17} }{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B17%7D%20%7D%7B7%7D)
Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
sinx = ![\sqrt{1-cos^2x}](https://tex.z-dn.net/?f=%5Csqrt%7B1-cos%5E2x%7D)
Note that (
)² = ![\frac{32}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B49%7D)
sinΘ = ![\sqrt{1-(32/49)}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%2832%2F49%29%7D)
=
= ![\frac{\sqrt{17} }{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B17%7D%20%7D%7B7%7D)
10% is the correct answer to this question