Question

Mike is using a telescope to view three stars. He notes the distances and angles between the lines joining the stars, as shown below. Which expression shows the distance between Star 2 and Star 3?

Answer 1

A) y sec x°

Answer 2

B)

Answer 3

C) y cot x°

Answer 4

D)

Answer 5

@zepp can you please help me?

Answer 6

Ok so you have the length between Star 1 and 2, the angle x and the length between Star 2 and 3, you'll need to build up a relationship between theses stuffs.

Answer 7

Identify them, Distance between Star 1 and 2 is the adjacent side of x

and Distance between Star 2 and 3 is the hypotenuse

We have angle x, an adjacent side and the hypotenuse.

Answer 8

This could be cosine relationship

cos(x) = y/SIDE

Answer 9

it has to cot, right?

Answer 10

Nope, should be sec

Answer 11

sec(x) = SIDE/y

Answer 12

therefore SIDE = y * sec(x)

Answer 13

y sec x

Answer 14

Right :)

Answer 15

thank you for all your help! :)

Answer 16

yw :)