How to Find Δh for Gravitational Potential Energy Using Trigonometry?

[mutineer]

In this question 3 bi
http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf

to find gravitaional poteintial enrgy we need to find Δh. which is the vertical difference between the two spheres shown in the diagram. How do i find that?

Answer says (61 – {61 cos18} =) 3.0 cm, I can't figure out how?

 

[torquil]

You'll have to learn basic trigonometry before you can solve the exercise.

 

[mutineer]

You'll have to learn basic trigonometry before you can solve the exercise.

I have, but this ones kinda proving tough. Maybe the solution is staring at my face but i can't figure it out!

 

[jtbell]

Hint: draw a horizontal line from the sphere position on the right (the dotted one), to the vertical solid line. Consider the right triangle that this creates.

 

[mutineer]

Hint: draw a horizontal line from the sphere position on the right (the dotted one), to the vertical solid line. Consider the right triangle that this creates.

OMG YES! I told you guys, it probably was staring right in my face. I was thinking more in the terms of forming and isosceles triangle in order to keep the lengths the same, but then again keeping them the same is the problem itself! Thanx a tonne!