A train slowly climbs a 450-m mountain track which is at an angle of 10.0° with respect to the horizontal.How much altitude does it gain?
A) 78.1 m
B) 225.0 m
C) 83.1 m
D) 443.2 m
E) 450 m

Question

A train slowly climbs a 450-m mountain track which is at an angle of 10.0° with respect to the horizontal.How much altitude does it gain?
A) 78.1 m
B) 225.0 m
C) 83.1 m
D) 443.2 m
E) ​450 m

Quizplus · Accepted Answer

The altitude gained is the vertical component of the displacement, which is:$$d_v = d \sin 	heta = (450 	ext{ m}) \sin 10.0° = 78.1 	ext{ m}$$

A Train Slowly Climbs a 450-M Mountain Track Which Is