Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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... Elevation and Depression The Mariner's Compass Chapter VII . RADIAN OR CIRCULAR MEASURE . Definition of Radian .. Circumference of circle = 27 ( radius ) All radians are equal π radians 2 right angles = 180 degrees Radian contains 57 ...
... Elevation and Depression The Mariner's Compass Chapter VII . RADIAN OR CIRCULAR MEASURE . Definition of Radian .. Circumference of circle = 27 ( radius ) All radians are equal π radians 2 right angles = 180 degrees Radian contains 57 ...
Página 41
... elevation and depression . Let OP be a horizontal line in the same vertical plane as an object Q , and let OQ be joined . Fig.1 angle of elevation P angle of depression Fig.2 In Fig . 1 , where the object Q is above the horizontal line ...
... elevation and depression . Let OP be a horizontal line in the same vertical plane as an object Q , and let OQ be joined . Fig.1 angle of elevation P angle of depression Fig.2 In Fig . 1 , where the object Q is above the horizontal line ...
Página 42
... elevation is 60 ° : find its height . Let AB be the flagstaff , C the point of observation ; then AB = BC tan 60 ° = 30/3 = 30 × 1.732 = 51.96 . Thus the height is 51.96 ft . EXAMPLES . VI . a . A 60 ° [ The results should be expressed ...
... elevation is 60 ° : find its height . Let AB be the flagstaff , C the point of observation ; then AB = BC tan 60 ° = 30/3 = 30 × 1.732 = 51.96 . Thus the height is 51.96 ft . EXAMPLES . VI . a . A 60 ° [ The results should be expressed ...
Página 43
... elevation of the top of a tower is 30 ° ; on walking 100 yards nearer the elevation is found to be 60 ° : find the height of the tower . 10. A flagstaff stands upon the top of a building ; at a distance of 40 feet the angles of elevation ...
... elevation of the top of a tower is 30 ° ; on walking 100 yards nearer the elevation is found to be 60 ° : find the height of the tower . 10. A flagstaff stands upon the top of a building ; at a distance of 40 feet the angles of elevation ...
Página 61
... elevation of the sun when a chimney 60 feet high throws a shadow 20/3 yards long . 7. Prove the identities : ( 1 ) ( tan 0 + 2 ) ( 2 tan 0 + 1 ) = 5 tan 0 + 2 sec2 0 ; ( 2 ) 1+ cot2 a 1 + cosec a = cosec a . 5п 8. One angle of a ...
... elevation of the sun when a chimney 60 feet high throws a shadow 20/3 yards long . 7. Prove the identities : ( 1 ) ( tan 0 + 2 ) ( 2 tan 0 + 1 ) = 5 tan 0 + 2 sec2 0 ; ( 2 ) 1+ cot2 a 1 + cosec a = cosec a . 5п 8. One angle of a ...
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Términos y frases comunes
1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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