A train slowly climbs a 600-m mountain track which is at an angle of 10.0° with respect to the horizontal.How much altitude does it gain?
A) 86.8 m
B) 104 m
C) 106 m
D) 492 m

Question

Quizplus · Accepted Answer

To find the altitude gained, we need to use the trigonometric function of sine, which is defined as the opposite side (in this case, altitude) divided by the hypotenuse (in this case, the length of the track).

sin(10.0°) = altitude/600m

Multiplying both sides by 600m, we get:

altitude = 600m x sin(10.0°)

altitude = 104m (rounded to the nearest meter)

Therefore, the train gains 104 meters in altitude.

A Train Slowly Climbs a 600-M Mountain Track Which Is