In curling, it is often necessary to hit and displace an opponent’s stone to win the end. Olivia would like to hit her opponent’s stone with her own stone. If she releases her stone at the hog line, it needs to travel another 87 feet before reaching her opponent’s stone. Olivia can be off by 11 inches in either direction and still hit her opponent’s stone. Assuming her stone doesn’t curl (change direction), within what angle, $\theta$, to the nearest tenth, must Olivia throw her stone to hit her opponent’s stone?
With this question, do you need to convert the 11 inches to feet, and then solve from there? And since both triangles are the same, do you only solve for one? $11$ inches = $0.916667$ Feet
$\tan (a) = a / b$
$\tan (a) = 0.916667 / 87$
$a = \arctan (0.105364022989)$
$a = 0.6037^\circ$