Learn To Be brings free online tutoring students around the United States. Volunteer and gain community service hours while helping students who need it./p>

Vector word problems

Keita left camp three days ago on a journey into the jungle. The three days of his journey can be described by displacement (distance and direction) vectors d1\purple{\vec{d_1}}, d2\blue{\vec{d_2}}, and d3\green{\vec{d_3}}.
d1=(7,8)\purple{\vec{d_1}} = (7,8)
d2=(6,2)\blue{\vec{d_2}} = (6,2)
d3=(2,9)\green{\vec{d_3}} = (2,9)
(Distances are given in kilometers, km\text{km}.)
How far is Keita from camp at the end of day three?
km\,\text{km}
(Round your final answer to the nearest tenth.)
What direction is Keita from camp at the end of day three? Assume 00^\circ is the rightward direction.
^\circ
(Round your final answer to the nearest degree. Your answer should be between 00 and 180180^\circ.)