Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 8
... feet in BC ; then x2 = ( 17 ) 2 — ( 8 ) 2 = ( 17 + 8 ) ( 17 – 8 ) = 25 × 9 ; .. x = 5x3 = 15 . AB 8 sin C = = 3 AC 17 17 Also tan C AB 8 BC 15 = A 8 B 1325 x 18. The following important proposition depends upon the property of 8 [ CHAP ...
... feet in BC ; then x2 = ( 17 ) 2 — ( 8 ) 2 = ( 17 + 8 ) ( 17 – 8 ) = 25 × 9 ; .. x = 5x3 = 15 . AB 8 sin C = = 3 AC 17 17 Also tan C AB 8 BC 15 = A 8 B 1325 x 18. The following important proposition depends upon the property of 8 [ CHAP ...
Página 38
... feet ; find the length of the perpendicular from C upon AB produced . Draw CD perpendicular to AB produced , and let CD = x . Then CBD = 180 ° - 135 ° = 45 ° ; .. BD = CD = x . Now in the right - angled tri- angle ADC , CD AD that is ...
... feet ; find the length of the perpendicular from C upon AB produced . Draw CD perpendicular to AB produced , and let CD = x . Then CBD = 180 ° - 135 ° = 45 ° ; .. BD = CD = x . Now in the right - angled tri- angle ADC , CD AD that is ...
Página 42
... feet is 30 ° : find its height . 2. From a ship's masthead 160 feet high the angle of depression of a boat is observed to be 30 ° : find its distance from the ship . 3. Find the angle of elevation of the sun when the shadow of a pole 6 ...
... feet is 30 ° : find its height . 2. From a ship's masthead 160 feet high the angle of depression of a boat is observed to be 30 ° : find its distance from the ship . 3. Find the angle of elevation of the sun when the shadow of a pole 6 ...
Página 43
... feet high , the elevation is 30 ° ; find the height and distance of the steeple . 13. The height of a hill is 3300 feet above the level of a horizontal plane . From a point A on this plane the angular elevation of the top of the hill is ...
... feet high , the elevation is 30 ° ; find the height and distance of the steeple . 13. The height of a hill is 3300 feet above the level of a horizontal plane . From a point A on this plane the angular elevation of the top of the hill is ...
Página 44
... feet high are 30 ° and 60 ° : find the height of the tower . 16. From the top of a cliff 150 feet high the angles of depression of two boats at sea , each due north of the observer , are 30 ° and 15 ° : how far are the boats apart ? 17 ...
... feet high are 30 ° and 60 ° : find the height of the tower . 16. From the top of a cliff 150 feet high the angles of depression of two boats at sea , each due north of the observer , are 30 ° and 15 ° : how far are the boats apart ? 17 ...
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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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