For The Mathematically Inclined

At the 1998 Winter X-Games held in Crested Butte, Colorado, Jennie Waara, from Sweden, won the womenâ€™s snowboarding slope-style competition. Suppose that in one of the qualifying races, Ms. Waara traveled 5 feet in the first second, and the distance she traveled increased by 7 feet each subsequent second. If Ms. Waara reached the finish line in 15 seconds, how far did she travel?

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Problems from 11/17/16

Problem 1
From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. What is the height of the second building?

Solution:

Problem 2
If the shadow of a building increases by 10 meters when the angle of elevation of the sun rays decreases from 70 to 60 degrees, what is the height of the building?

Solution:

Congratulations to Ramachandran Balakrishna, who was the winner of the last set of puzzles.