Question

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees . How far do riders travel on the lift? Round your answers to the nearest whole number..

Answer 1

We know an angle and it's opposite side.....we can use the sine to find the rider's travel distance [the hypotenuse]

 

sin (22.3)  = 2600 / hypotenuse         

rearrange: 

hypotenuse  = 2600 / sin (22.3)  = about 6582 ft