Question

A cyclist pedals up a hill that has a 13 degree angle. if the cyclist pedals up the hill for 10 kilometers what is her change in elevation, x?

A. 022 kilometers
B. 2.2 kilometers
C. 9.7 kilometers
D. 45.0 kilometers

Answer 1

sinα=h/d

h=dsinα, since d=10km and α=13

h=10sin13 km

h≈2.24951km

h≈2.2 km (to nearest tenth of a kilometer)