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" From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°. "
Elementary Practical Mathematics - Page 175
by Frank Castle - 1899 - 404 pages
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...half the sum of the angles opposite to these sides, is to the tangent of half their difference. 3. What is the angle of depression of an object ? From the top of a hill I observed two milestones on a level road in the same direction from me, the angle of depression of...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...computation. 7. Find the greatest angle of the triangle whose sides are 250, 180, 120 feet respectively. 8. What is the angle of depression of an object ? From the top of a hill I observed two mile stones on a level road in the same direction from me, the angle of depression of...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pages
...B)2=4cos2^(A— в). 8. In any plane triangle show that 1±6 = tan ? (A + B). ' a— It tan £ (А— в) 9. What is the angle of depression of an object ?...a hill the angles of depression of two consecutive muestones on a straight, level road, were found to be 12° 13' and 2° 45' : find the height of the...
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Plane trigonometry and logarithms

John Walmsley - Logarithms - 1865 - 232 pages
...the tower to be 15° from S. How far is it from tower to steeple ? Given cot 75° = -26 nearly. 16. From the top of a hill the angles of depression of...level road, were found to be 12° 13' and 2° 45': find the height of the hill. Given tan 2° 45' = -048, tan 12° 13' = -217. 17. From the edge of one...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 426 pages
...and у respectively. Find the distance between the objects ; the height of the tower being h. 812. From the top of a hill the angles of depression of two objects in the plain at its base were observed to be 45° and 30°, and the horizontal angle between...
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Mathematical Exercises ...

Samuel H. Winter - 1867 - 472 pages
...sin B)2=4cos2^(A— B). 8. .In any plane triangle show that g±6=tan ? (A+B). a— 6 tan ^ (A— B) 9. What is the angle of depression of an object ?...level road, were found to be 12° 13' and 2° 45' : find the height of the hill. 10. If r be the radius of the circle inscribed in a regular pentagon,...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...? If there be a foot-path which goes the shortest way to the canal, what is the distance by it ? 6. What is the angle of depression of an object? From...level road, were found to be 12° 13' and 2° 45'. Find the height of the hill. 7. A balloon ascends uniformly in a vertical line ; an observer takes...
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Elementary Trigonometry

James Hamblin Smith - Trigonometry - 1877 - 244 pages
...bottom of the wall the flagstaff subtends an angle of 10°. Find the distance of E from the wall. (28) From the top of a hill the angles of depression of...two consecutive mile-stones on a straight level road are found to bo 12°. 13' and 2°. 45'. Find the height of the hill (29) From the top of a tower by...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...the secant in terms of the cotangent. Give the proper sign for an angle between 180° and 225°. 3. From the top of a hill the angles of depression of two consecutive milestones were observed to be 30° and 15°. What was the height of the hill ? 4. Name the simple machines, and...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 234 pages
...its foot it will reach a window 21 feet high on the other side. Find the breadth of the street. 71. From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°....
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