Which types of EM waves are most likely used to detect distant stars and galaxies? Why?

Radio waves

Explanation:

Electromagnetic waves consist of periodic oscillations of electric and magnetic fields in a plane perpendicular to the direction of propagation of the wave.

Electromagnetic waves are the only waves able to travel in a vacuum, where they travel with a speed of

(speed of light).

Electromagnetic waves are also classified into 7 different types, depending on their wavelength.

From shortest to longest wavelength, we have:

Gamma rays

X-rays

Ultraviolet

Visible light

Infrared

Microwaves

Radio waves

Radio waves are the EM waves with longest wavelenght, spanning from a few meters to several kilometers. Because of this property, radio waves are able to travel across long distances without being absorbed by anything: so, they are used to detect distant objects such as stars and galaxies, due to this property.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west