Question

Leonard, Brandon, and Emily are tossing a football. The distances they stand from each other are shown in the diagram at the right. To the nearest tenth, what is the measure of the angle with its vertex at Leonard?

Answer 1

33.4°

Explanation:

`AB=22tt`

`BC=34tt`

`AC=40ft`

`cos\ C=(AC^2+BC^2-AB^2)/(2AC\bullet BC)`

`=\frac{{40}^2+{34}^2-{22}^2}{2*40*34}`

`=(1600+1156-484)/(2720)`

`=(2272)/(2720)=(71)/(85)`

`< c=arccos\left((77)/(85)\right)\ \ \ \ \ \left\{\begin{matrix}the\ nearest\ tenth\\0.1\\\end{matrix}\right\}`

`< C\thickapprox 33.4\textdegree`

`Answer:33.4\textdegree`

I hope this helps you

:)