Plane trigonometry, by S.L. Loney.
270 TRIGONOMETRY. [Exs. XLII.] 3. If the radius of the earth be 4000 miles, find the height of a balloon when the dip is 1~. Find also the dip when the balloon is 2 miles high. 4. Prove that, if the height of the place of observation be n feet, the distance that the observer can see is a/ miles nearly. 5. There are 10 million metres in a quadrant of the earth's circumference. Find approximately the distance at which the top of the Eiffel tower should be visible, its height being 300 metres. 6. Three vertical posts are placed at intervals of a mile along a straight canal each rising to the same height above the surface of the water. The visual line joining the tops of the two extreme posts cuts the middle post at a point 8 inches below its top. Find the radius of the earth to the nearest mile.
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About this Item
- Title
- Plane trigonometry, by S.L. Loney.
- Author
- Loney, Sidney Luxton, 1860-
- Canvas
- Page 257
- Publication
- Cambridge [Eng.]: University press,
- 1893.
- Subject terms
- Plane trigonometry.
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/abn7298.0001.001
- Link to this scan
-
https://quod.lib.umich.edu/u/umhistmath/abn7298.0001.001/294
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- Manifest
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Cite this Item
- Full citation
-
"Plane trigonometry, by S.L. Loney." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn7298.0001.001. University of Michigan Library Digital Collections. Accessed May 2, 2025.