Ultraviolet light from a distant star is traveling at 3.0 × 108 m/s. how long will it take for the light to reach earth if it must travel 4.0 × 1013 km? 2.7 × 10–2 hours 2.2 × 103 hours 3.7 × 104 hours 1.3 × 105 hours

Explanation:

Ultraviolet light from a distant star is traveling at 3.0 × 10⁸ m/s.

Speed = 3.0 × 10⁸ m/s

We need to find how long will it take for the light to reach Earth if it must travel 4.0 × 10¹³ km

Distance = 4.0 × 10¹³ km = 4.0 × 10¹⁶ m

We know

         Distance traveled = Speed of travel x Time taken

         4.0 × 10¹⁶ = 3.0 × 10⁸ x t

         t = 1.33 x 10⁸ s

         Time, t = 37037 hours = 3.7 x 10⁴ hours

Option D is the correct answer.

D

Explanation:

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y