Answer:
the solutions are (9,12 m , 0.366 rad) and (-9,12 m , 1.936 rad)
Step-by-step explanation:
given the polar coordinates (r=9.77 m , θ) and (x, y=3.50 m) , since we know that
x²+y²=r² → x = ±√(r²-y²) = ±√(9.77 ²-3.50 ²)= ± 9,12 m
then
x = r* cos θ → for θ = cos ⁻¹ (x/r)
thus
for x= 9,12 m → θ = cos ⁻¹ (9,12 m/9.77 m) = 0.366 rad
for x= -9,12 m → θ = 0.366 rad + π/2 rad = 1.936 rad
therefore the solutions are (9,12 m , 0.366 rad) and (-9,12 m , 1.936 rad)
