An Elementary Treatise on Plane Trigonometry

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University Press, 1896 - Plane trigonometry - 312 pages
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Page 52 - From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30 and 60 respectively ; required the height of the column.
Page 206 - The angular elevation of a tower at a place A due south of it is 30 ; and at a place B due west of A, and at a distance a from it, the elevation is 18...
Page 196 - A person standing on the bank of a river observes the elevation of the top of a tree on the opposite bank to be 51...
Page 219 - The three perpendiculars from the vertices of a triangle to the opposite sides (produced if necessary) are called the altitudes...
Page 287 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 111 - C = 1 + 4 sin A sin B sin C. 37. tan A + tan B + tan C = tan A tan B tan C.
Page 201 - A lighthouse facing N. sends out a fan-shaped beam extending from NE to NW A steamer sailing due W. first sees the light when 5 miles away from the lighthouse and continues to see it for 30^/2 minutes. What is the speed of the steamer 1 5.

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