Hello, symmetry!

At Mogul’s Ski Resort, the beginner’s slope is inclined at an angle of 12.3°

while the advanced slope is inclined at an angle of 26.4°.

If Rudy skis 1,000 meters down the advanced slope

while Valerie skis the same distance on the beginner’s slope,

how much longer was the horizontal distance that Valerie covered?

(1) 81.3 m . . (2) 231.6 m . . (3) 895.7 m . . (4) 977.0 m Code:

*
* :
* :
* 1000 * :
* : * :
1000 * : * :
* : * :
* 12.3° : * 26.4° :
* - - - - - - - - - * * - - - - - - - *
V R

The first triangle represents the beginner's slope.

. . Let = Valerie's horizontal distance.

We see that: .

The second triangle represents the advanced slope.

. . Let = Rudy's horizontal distance.

We see that: .

The difference is: . . . . answer (1)