A surveyor records the polar coordinates of the location of a landmark as (40, 62°). What are the rectangular coordinates? Round each coordinate to the nearest hundredth.

Answer 1

first recall that the form of polar coordinate is
(r, θ)
to convert polar coordinate to rectangular coordinate, we do this:
(r*cos θ , r*sin θ)

in the problem, r = 40 and θ = 62. thus,
(r*cos θ , r*sin θ)
(40*cos 62 , 40*sin 62)
(18.78 , 35.32)

hope this helps~ :)

Answer 2

Thank YOU!!!