Question

A radar antenna is tracking a satellite orbiting the earth. At a certain time, the radar screen shows the satellite to be 118 km away. The radar antenna is pointing upward at an angle of 58.9° above the ground. Find (a) the x and (b) the y components (in km) of the position vector of the satellite, relative to the antenna.

Answer 1

x component 60.85 m

y component 101.031 m

Step-by-step explanation:

We have given distance r = 118 km

Angle which makes from ground = 58.9°

(a) X component of distance is given by
`r_x=rcos\Theta =118* cos58.9=118* 0.5165=118=60.85m`

(b) Y component of distance is given by
`r_Y=rcos\Theta =118* sin58.9=118* 0.8562=101.0316m`

These are the x and y component of position vector