(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The two sides of a stepladder are of length 2m and 1.85m. When fully opened, the longer side is inclined at 65° to the horizontal. Find the distance apart of the feet of the step ladder.

2. Relevant equations

Sin Rule & Pythagoras?

3. The attempt at a solution

I had a go but I really think it's wrong.

[itex]\frac{2}{\sin90°} = \frac{b}{\sin65°}[/itex]

[itex]b = \frac{2}{\sin90°}\times \sin65°[/itex]

[itex]b = 1.81 (2d.p.)[/itex]

[itex]a^2 = 2^2 - 1.81^2 = 0.7239[/itex]

[itex]a = 0.85 (2d.p.)[/itex]

[itex]x^2 = 1.85^2 - 0.85^2 = 2.7[/itex]

[itex]x = 1.64 (2d.p.)[/itex]

[itex]l = 1.81 + 1.64 = 3.45m[/itex]

P.S. How do you do new lines in LaTeX?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Sin Rule & Pythagoras?

**Physics Forums | Science Articles, Homework Help, Discussion**