Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 1
... height 2 in . is 4 x 2 sq . in . , we express a general law by saying that a bh . Algebra , therefore , is a generalized arithmetic , and the equation is the chief object of attention . Algebra also enters into all subsequent branches ...
... height 2 in . is 4 x 2 sq . in . , we express a general law by saying that a bh . Algebra , therefore , is a generalized arithmetic , and the equation is the chief object of attention . Algebra also enters into all subsequent branches ...
Página 15
... height of the pyramid ? 13. Wishing to measure BC , the length of a pond , a surveyor ran a line CA at right angles to BC . He measured AB and A , finding that AB 928 ft . , and A : length of BC . = 29 ° . Find the 609 52 ° B 928 299 In ...
... height of the pyramid ? 13. Wishing to measure BC , the length of a pond , a surveyor ran a line CA at right angles to BC . He measured AB and A , finding that AB 928 ft . , and A : length of BC . = 29 ° . Find the 609 52 ° B 928 299 In ...
Página 18
... height of the instru- L ment must always be taken into account . In stating problems , however , it is not convenient to consider this every time , and hence the angle is supposed to be taken from the level on which the instrument ...
... height of the instru- L ment must always be taken into account . In stating problems , however , it is not convenient to consider this every time , and hence the angle is supposed to be taken from the level on which the instrument ...
Página 19
... height of the spire ? 18. When a flagstaff 55.43 ft . high casts a shadow 100 ft . long on a horizontal plane , what is the angle of elevation of the sun ? 19. A ship S is observed at the same instant from two lighthouses , L and L ...
... height of the spire ? 18. When a flagstaff 55.43 ft . high casts a shadow 100 ft . long on a horizontal plane , what is the angle of elevation of the sun ? 19. A ship S is observed at the same instant from two lighthouses , L and L ...
Página 29
... height of the building ? 34. From the top of a building 62 ft . 6 in . high , including the instrument , the angle of depression of the foot of an electric - light pole is observed to be 41 ° 3 ' . How far is the pole from the building ...
... height of the building ? 34. From the top of a building 62 ft . 6 in . high , including the instrument , the angle of depression of the foot of an electric - light pole is observed to be 41 ° 3 ' . How far is the pole from the building ...
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Plane and Spherical Trigonometry, and Surveying G. A. (George Albert) 1835-1 Wentworth Sin vista previa disponible - 2015 |
Términos y frases comunes
9 log acute angle angle of depression angle of elevation characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cot log cotangent cotx decimal places degrees Dividing equal equation example Exercise Find log Find the area Find the distance Find the height Find the length Find the value given the following graph Hence horizontal hypotenuse included angle interpolation latitude Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa negative perpendicular polygon positive quadrant radians radius right angle right spherical triangle right triangle roots secant secx sexagesimal ship sails sides sin B sin sin log cos sin(x sin² solution solve the triangle spherical triangle subtends subtract tabular difference tangent triangle ABC whence
Pasajes populares
Página 109 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 98 - I sin y \2 / \2 / = sin x cos y + cos x sin y, sin (a; — y) = sin (x + (— y)) = sin a; cos (— y) + cos a; sin (— y) = sin x cos y — cos x sin y, tan (x + y) = sin (x + y) sin x cos y + cos x...
Página 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 44 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 50 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 57 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 116 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Página 112 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
Página 128 - Prove that the area of a parallelogram is equal to the product of the base, the diagonal, and the sine of the angle included by them.
Página 151 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).