Plane Trigonometry and TablesGinn, 1914 - 314 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 ° 3 I ' 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 ° 3 I ' 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 AC . 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 AC . 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 . Since 50 x be eliminated . tan 30 ° and 50+ y tan 45 ° , x can evidently 50 30 ° x 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 . Since 50 x be eliminated . tan 30 ° and 50+ y tan 45 ° , x can evidently 50 30 ° x 10. A man whose eye is 5 ft . 8 in . above the ground stands midway ...
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Términos y frases comunes
9 log absolute value acute angle angle of depression angle of elevation antilogarithm base characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cosine cot log cotangent cotx decimal places degree diameter divided equation example Exercise Find log Find the antilogarithm Find the area Find the distance Find the height Find the length Find the number Find the value formula given number given the following graph Hence horizontal hypotenuse included angle integers interpolation isosceles triangle Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa multiply negative plane polygon positive quadrant radians radius right triangle roots secant secx sexagesimal ship sails sin log cos sin(x sin² sin²x Solve subtends subtract tabular difference tangent triangle ABC trigonometry whence
Pasajes populares
Página 99 - EXERCI8E XII. 1. What do the formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 43 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 43 - 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 98 - The sides of a triangle are proportional to the sines of the opposite angles.
Página 47 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 141 - 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).
Página 41 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 118 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Página 59 - From the top of a hill the angles of depression of two objects situated in the...
Página 21 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.