Volcano
A new volcano has suddenly appeared where a small strip mall used to be. You are the head of the intrepid surveying crew whose job it is to determine the height of the peak. Traveling bravely toward...
View ArticleThe Lighthouse
You are sailing your splendid yacht, the Gemini, down the Hudson River into New York Harbor. It is a sunny afternoon, with a light breeze, and everything is going well. Your crew has been scrubbing...
View ArticleRocket Launch
You are 2 km from the launch pad, watching a mighty rocket climb skyward, under the fearless command of the intrepid Captain Knight. Your first observation gives an angle of elevation of 21 degrees....
View ArticlePlane Flying Overhead
You are standing outside in the sunshine. An airplane at 3000 feet is going to fly directly over your head in a few minutes. It is traveling 200 mph. You don’t notice it until you hear it, and the...
View ArticleWind Turbine Height on Approach
The top of an off-shore wind turbine can be sighted from the deck of your yacht from a point 252 meters from the base of the wind turbine with an angle of elevation that doubles as you sail 172 meters...
View ArticleLatitude of Flight
Take the circumference of the earth at the equator to be 24,000 miles. An airplane taking off at the equator and flying west at 1000 miles an hour would land at exactly the same time that it started...
View ArticlePlane Speed = f(Latitude)
Take the circumference of the earth at the equator to be 24,000 miles. An airplane taking off at the equator and flying west at 1,000 miles per hour would land at exactly the same time that it started,...
View ArticleVertical Tower 1
MA represents a vertical tower. Points A, B, and C lie in the same horizontal plane. MB and MC are wire stays, each of length 20 meters. The angle of elevation of M at B is x°. ∠MCB is...
View ArticleVertical Tower 2
DA represents a vertical tower. Points B, A, and C all lie in the same horizontal plane. The angle of elevation of D at B is x�. Angles BAC, BAD, and CAD are each 90�. BD = BC and AD = AC. Angle DBC is...
View ArticleBasketball Shot Contest
A special basketball shot is made by James 20% of the time, by Kristy 30% of the time, and by Hannah 40% of the time. A game is played in which the players shoot consecutively and the first player to...
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