Question

Find the Cartesian coordinates for the point whose distance from the origin is 2 m and the angle measured from the positive horizontal axis is 15°
x =

y =

Answer 1

Answer:

(1.93 m, 0.52 m)

Explanation:

given,

distance of point from the origin,d = 2 m

angle measured from horizontal = 15°

Cartesian coordinate of the point = ?

we can find the x and y component by resolving the position vector

horizontal component

 x = d cos θ

 x = 2 x cos 15°

 x = 1.93 m

vertical component of the position vector

 y = d sin θ

 y = 2 x sin 15°

 y = 0.52 m

hence, the Cartesian coordinate are

( x , y) = (1.93 m, 0.52 m)