Question

4. A sculpture in NYC is made up of two walls, each 246.75 feet long, that 10 pcsmeet at an angle of 125.2. Find, to the nearest foot, the distancebetween the ends of the walls that do not meet."

Answer 1

Below is the diagrammatical representation of the problem under consideration:

By cosine rule,

`a^2=b^2+c^2-2bc\cos A`
`\begin{gathered} d^2=246.75^2+246.75^2-2(246.75)(246.75)\cos 125.2 \\ d^2=121771.125--70192.8116=121771.125\text{ + 70192.8116=}191963.937 \\ d=\sqrt[]{191963.937}=438.137\approx438\text{ fe}et \end{gathered}`

Solution: The distance between the two walls is 438 feet ( 2nd option )