Light travels at a speed of 1.86x10^5 mi per sec. if the distance from a star to a planet in its orbit is 8.66x10^7 mi, how long (in seconds) does it take light travel from the star to the planet

The Time taken by light to travel from star to the planet is 480 seconds

Step-by-step explanation:

Given as :

The speed of light is  mile per sec

The distance from star to a planet in its orbit =   mile

Let the time taken by light to travel from star = T sec

So, Time =

Or,  Time =

∴, Time = 4.80×10²  sec = 480 second

Hence The Time taken by light to travel from star to the planet is 480 seconds    Answer

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.