Answer:
The distance would be around 9.66 blocks
Step-by-step explanation:
If you draw a straight line from zoo to movie theater, we have a triangle.
The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.
We will use cosine rule to find this. The rule is:
[tex]p^2=a^2+b^2-2abcosP[/tex]
Where
a and b are the two adjacent sides to the given angle
a = 6
b = 8
p is what we are looking for
P is the angle given
So, substituting and finding the value:
[tex]p^2=a^2+b^2-2abcosP\\p^2=6^2 + 8^2 - 2(6)(8)Cos(86)\\p^2=36+64-96Cos(86)\\p^2=100-96Cos(86)\\p^2=93.3033\\p=\sqrt{93.3033}\\p=9.66[/tex]
The distance would be around 9.66 blocks
