# Third Side, Reply to Jen

posted by .

Hi Jen,

I've seen the drawing. My site is down at the moment.

Draw a line from Venus (either of the two positions) to the line Earth-Sun at right angles.

Let's call the distance Earth Venus d. Then you have a right angle triangle with a hypotenuse d, the line that intersects the line Sun Earth at right angles has a length of
d sin(30°)= d/2 and the distance from the Earth to the point where that line of length d/2 intersects the line Earth Sun (let's call it P) is
d cos(30°) =1/2 sqrt(3)d

The distance from the sun to P is then 1.5*10^8 km minus 1/2 sqrt(3)d

Now the line Sun-Venus is the hypotenuse of another right angled triangle with sides Sun to P and the line of length d/2 you've drawn.

This means that

(1.5*10^8 km - 1/2 sqrt(3)d)^2 + (d/2)^2 = (distance from sun to venus) squared

You can then solve d from this quadratic equation.

## Similar Questions

1. ### third side

If one angle and two sides of a triangle are given, how to find the third side?
2. ### math

jen can run at 7.5 m/s and mary at 8.0 m/s. on a race track jen is given a 25 m head start, and the race eds in a tie. how long is the track?
3. ### frogs

Two girls caught 25 frogs. Lisa caught four times as many as Jen did. How many frogs did Jen catch?
4. ### Physics - Repost

I am reposting the this question. Find the current in the 10.0 ohm resistor in the drawing (V1 = 21.0 V and R1 = 27.0 ohms). The drawing is in the shape of a rectangle that has one straight line down the center. On the left top line …
5. ### Math

paul can type 60 words per minute and jen can type 80 words per minute. how dose puls typing speed compare to jen?
6. ### 6 grade math

This Christmas,your brother Jack will be 2 years from being twice as old as your sister Jen.The sum of Jack's age and three times Jen's age is 66.How old is Jen?
7. ### Astronomy

Assume that right now the Moon is full, Mercury is at superior conjunction, Venus is at greatest western elongation, and Mars is at opposition. Draw a simple sketch of the solar system, showing the relative positions of the Sun, Earth, …