A hiker is climbing a steep 11 degree slope....

Question

A hiker is climbing a steep 11degree slope . Her pedometer shows she has walked 1400m along the slope . How much elevation has she gained? Express the answer to 2 sig figs with the appropriate units.

 

I got 267.1325935. If i round it to 2 sig figs, does it become 270m?

Answer 1

The answer is

 

h = (1400 m) sin(11º) = 267.1325935 m

 

To 2 significant figures, it rounds off to 270 m.  You are correct.

Answer 2

Yes, you're correct! The elevation gained equals: 

 

sin(11) * 1400 m = 267.132....... 

 

two sig figs would be the hundreds and tens place in this case, so 270. Nicely done!