Elementary Text-book of TrigonometryBlackie & Son, 1884 - 176 páginas |
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Página 46
... tower or a church D 14 spire , of which the height B AB is required . From A , the foot of the object , let a convenient distance AC be measured on a level with A. At the point C observe the angle ACB subtended at the these two ...
... tower or a church D 14 spire , of which the height B AB is required . From A , the foot of the object , let a convenient distance AC be measured on a level with A. At the point C observe the angle ACB subtended at the these two ...
Página 49
... tower the angle of depression of the top of another tower , 230 feet distant , is 22 ° 30 ′ . If the higher tower is 193 feet high , find the height of the other , given tan 22 ° 30 ′ = ' 414 . 2. From a position on board one of the ...
... tower the angle of depression of the top of another tower , 230 feet distant , is 22 ° 30 ′ . If the higher tower is 193 feet high , find the height of the other , given tan 22 ° 30 ′ = ' 414 . 2. From a position on board one of the ...
Página 50
... tower a flagstaff on the tower subtends the greatest angle . Let AB be the tower surmounted by the flagstaff BC , and ADE the road leading up to A the base of the tower . It is E D A B required to find at what point in ADE the flagstaff ...
... tower a flagstaff on the tower subtends the greatest angle . Let AB be the tower surmounted by the flagstaff BC , and ADE the road leading up to A the base of the tower . It is E D A B required to find at what point in ADE the flagstaff ...
Página 51
... tower = 90 feet ; height of flagstaff = 10 feet . Here a = 90 , b = 10 ; therefore Also AD √90.100 = √9000 = 30/10 feet . tana = ✓100 = √10 90 = 1.0541 . From a table of natural tangents we find that the angle whose tangent is ...
... tower = 90 feet ; height of flagstaff = 10 feet . Here a = 90 , b = 10 ; therefore Also AD √90.100 = √9000 = 30/10 feet . tana = ✓100 = √10 90 = 1.0541 . From a table of natural tangents we find that the angle whose tangent is ...
Página 54
... tower 200 feet high , subtends an angle of 6 ′ 50 ′′ at a point 100 feet distant from the foot of the tower . Find the height of the object . Also find the distance from the foot of the tower of another point at which the object ...
... tower 200 feet high , subtends an angle of 6 ′ 50 ′′ at a point 100 feet distant from the foot of the tower . Find the height of the object . Also find the distance from the foot of the tower of another point at which the object ...
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Términos y frases comunes
angle AOB angle BAC angle increases angle less Article base centre circumference cloth boards common logarithm complement cos(A+B cos2A cos4A cosB cosC cose cosecA cosine cotA cotangent decimal places degree measure diameter distance equal equation Euclid EXAMPLES feet Find the angle Find the height find the number find the values flagstaff following angles formula given Hence hypotenuse inches log2 loga logarithms of numbers magnitude mantissa miles negative numbers number expressing number of degrees numerical value perpendicular positive Prove quadrant radian measure radii ratios of angles regular polygon respectively right angle right-angled triangle sec²A secA secant side BC Similarly sin(A sin(A+B sin2A sin2B sin3A sinB sine sine and cosine square root table of logarithms tan(A+B tan²A tanA tanB tangent tanß tower triangle ABC trigono trigonometrical ratios unit of angle yards
Pasajes populares
Página 90 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a".
Página 90 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Página 118 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 149 - Find the length of the side of a square whose area is equal to that of a rectangle the sides of which are 94 '28 and 6720 yards.
Página 89 - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.
Página 158 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.