Ruairi

I have been doing a bit of reading into particle physics and quantum theory lately and I'm having a bit of trouble understanding what a virtual particle and how they are allowed if they break the law of conservation of energy.

If you have a look at all the great physicists and mathematicians of the past and present. You will start to notice that these individuals are portrayed as if they have a natural gift in math or physics or whatever they do. instead of hearing how much work they put in you only hear about the amount of work they didn't put in. (i.e Stephen Hawking averaging only about an hour a night of study for his physics Ph.D.) I would like to hear your opinions on, whether you think arithmetical abilities are based on natural abilities or through many sleepless nights and empty coffee mugs.

Studiot, I have attempted your modification of the question my methodology is shown below: In triangle CBO: θ = tan^-1(0.6) θ = 30.96375653... tan(θ) = h/y y = h/tan(θ) y = 7.8/tan(30.96375653...) y = 13 In triangle AOB: alpha = 23.57818 degrees beta = 29.55192 degrees gamma = 126.86990 degrees a/sin(a) = b/sin(b) = c/sin© [sine rule] sin(alpha)/y = sin(gamma)/d d/sin(126.86990) = 13/sin(23.57818) d = (13/sin(23.57818))*sin(126.86990) d = 25.99999762 d = 26 (nearest whole number) Imatfaal, Your proposal matches the answer in the back of the book. Though I'm not familiar with using pi in this topic.

Thank you very much.

That makes the angle opposite to d equal 180 degrees. But it can't because angles of a triangle add up t 180 degrees which would make alpha and beta equal to 0 which can't be right.

A straight line has 180 degrees so, two right angles???

I have checked the textbook again. The question has the two right angles on either side. This won't interfere with the resources you have allocated?

Ok thanks.

I have been stuck on the problem shown below. I've made many attempts but the answer will not show itself! I'm solving for d