1. In triangle ABC , AB=9.2 ft, BC=11.9 ft, and m

2. Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram. What is the distance between Garret and Dino? Round your final answer to the nearest yard.

Guest Apr 17, 2017

#2**+1 **

1 is not a question......

2. Call the point Marco stands on "M", Garret stands on "G" and Dino stands on "D".

Apply the law of sines:

17 sin angle MDG = 15 sin angle MGD

because \(\angle MDG +\angle MGD = (180 - 81)^{\circ}=99^{\circ}\)

\(17\sin(99^{\circ}-\angle MGD)=15\sin \angle MGD \\17(\sin99^{\circ}\cos \angle MGD-\cos 99^{\circ}\sin\angle MGD)=15\sin \angle MGD\\ 17\sin 99^{\circ} \cot \angle MGD - 17\cos 99^{\circ} = 15\\ \cot \angle MGD = \dfrac{15 + 17\cos 99^{\circ}}{17\sin 99^{\circ}}\\ \angle MGD \approx 53.69^{\circ}\\ \therefore \angle MDG = (99 - 53.69)^{\circ}=45.31^{\circ}\)

DG = 17cos(45.31) + 15cos(53.69) = 21 yd

MaxWong
Apr 17, 2017