Wednesday
April 16, 2014

Homework Help: Third Side, Reply to Jen

Posted by Count Iblis on Saturday, November 11, 2006 at 10:07am.

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.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

third side - If one angle and two sides of a triangle are given, how to find the...
third side (picture attached) - I have already asked this in another thread. ...
Physics - Both drawings show the same square, each of which has a side of length...
Astronomy - Assume that right now the Moon is full, Mercury is at superior ...
maths pleaaaase - The point X and Y are 8cm apart Draw a scale drawing of the ...
Math - How do I figure out this question? Is there a formula I need? For which ...
math - jen can run at 7.5 m/s and mary at 8.0 m/s. on a race track jen is given ...
scc - One side of a triangle is half the longest side. The third side is 10 ...
Evaluation-repost - Reposting because it has gone down to the second page! ...
math - Jen spends half his money on lunch and then spends $1.50 for a magazine...

Search
Members