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- Bob has come to San Francisco, and he wants to know how tall the Golden Gate Bridge is. He gains the measurements of distance and degree length.
- Bob uses trigonometry to find out how far he is from the base of the golden gate bridge. sin25 = 746/x, x=1767 ft. Bob is 1767 feet away from the bridge.
- Bob knows that the top of the golden gate brigde is 746 feet and the angle of depression is 25 degrees.
- 25 degrees
- 746 ft
- Bob has come to London, and he wants to know how tall the Big Ben is. He gains the measurements of distance and degree length.
- Bob knows that he is 443 ft away from the Big Ben and the top of the Big Ben is 45 degrees.
- Bob uses trigonometry to find out that sin 45 = x/443, x=315. He is happy that high school math topics are helping him in real life.
- 45 degrees
- 443 ft
- Bob is now in Paris, and really wants to know the height of the majestic Eiffel Tower. Bob collects the measurements in order to find the height using trig.
- Bob finds that he is at a 65 degree angle and is 1320 feet away from the eiffiel tower, but now he wants to find the length from his feet to the tip as well as the height.
- 65 degrees
- 1320
- If the distance from Bob's feet to the base of the Eiffel tower then to find the distance from his feet to the top would be cos65 = 1320/x, x=3127 ft for the distance from Bob's feet to the tip of the Eiffel tower. Now for the height of the Eiffel tower Bob uses the expression sin65=x/1320, x = about 1100 ft as the height of the Eiffel tower. Bob's adventures are over, but his knowledge of trig is still prominent as ever.
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