Plane and Spherical TrigonometryGinn, 1915 - 230 páginas |
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Página 17
... distance AC . = 23. In the same figure what is the length of AC when AB = 500 ft . and A = 40 ° ? 640 24. In the same figure , if AC = 731.4 ft . and AB = 1000 ft . , what is the size of angle A ? 25. A regular hexagon is inscribed in a ...
... distance AC . = 23. In the same figure what is the length of AC when AB = 500 ft . and A = 40 ° ? 640 24. In the same figure , if AC = 731.4 ft . and AB = 1000 ft . , what is the size of angle A ? 25. A regular hexagon is inscribed in a ...
Página 19
... distance of the ship from L ' ? What is its distance from L ? 140 ° L ' 3 20. From the top of a rock which rises vertically , including the instrument , 134 ft . above a river bank the angle of depression of the opposite bank is found ...
... distance of the ship from L ' ? What is its distance from L ? 140 ° L ' 3 20. From the top of a rock which rises vertically , including the instrument , 134 ft . above a river bank the angle of depression of the opposite bank is found ...
Página 21
... distance AB a surveyor ran the line AC , making an angle of 50 ° with AB , and the line BC perpendicular to C. He meas- ured AC and found that it was 880 ft . Required the distance AB . 12. From the extremity of the shadow cast by a ...
... distance AB a surveyor ran the line AC , making an angle of 50 ° with AB , and the line BC perpendicular to C. He meas- ured AC and found that it was 880 ft . Required the distance AB . 12. From the extremity of the shadow cast by a ...
Página 68
... distance of the boat from the base of the rock . 55. How far from the eye is a monument on a level plain if the height of the monument is 200 ft . and the angle of elevation of the top is 3 ° 30 ' ? 56. A distance AB of 96 ft . is ...
... distance of the boat from the base of the rock . 55. How far from the eye is a monument on a level plain if the height of the monument is 200 ft . and the angle of elevation of the top is 3 ° 30 ' ? 56. A distance AB of 96 ft . is ...
Página 73
... distance AC of the observer from the building , as shown in the annexed figure . 50 Since = tan 30 ° and 50+ y x tan 45 ° , x can evidently 50 30 ° be eliminated . 10. A man whose eye is 5 ft . 8 in . above the ground stands midway ...
... distance AC of the observer from the building , as shown in the annexed figure . 50 Since = tan 30 ° and 50+ y x tan 45 ° , x can evidently 50 30 ° be eliminated . 10. A man whose eye is 5 ft . 8 in . above the ground stands midway ...
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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).