Plane and Spherical TrigonometryD.C. Heath & Company, 1917 - 313 páginas |
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Página 31
... tower 120 feet high the angle of depression of an object in the horizontal plane of the base of the tower is 24 ° 27 ' . How far is the object from the foot of the tower ? How far from the observer ? Given any point A and a second point ...
... tower 120 feet high the angle of depression of an object in the horizontal plane of the base of the tower is 24 ° 27 ' . How far is the object from the foot of the tower ? How far from the observer ? Given any point A and a second point ...
Página 99
... tower to a distant flagpole is 468 ft . of the top of the flagpole is 5 ° 8 ' 30 " . sion of the foot of the pole is 15 ° 36 ' . the flagpole . Find the height of 36. A tower is situated on a hill which inclines OBLIQUE TRIANGLE 99.
... tower to a distant flagpole is 468 ft . of the top of the flagpole is 5 ° 8 ' 30 " . sion of the foot of the pole is 15 ° 36 ' . the flagpole . Find the height of 36. A tower is situated on a hill which inclines OBLIQUE TRIANGLE 99.
Página 100
... tower , from a point on the hillside , was measured and found to be 43 ° 39 ' 50 " . At a point 75.5 ft . farther down , measured along the incline , the angle of ele . vation was found to be 39 ° 23 ' 20 " . How high is the tower ? 37 ...
... tower , from a point on the hillside , was measured and found to be 43 ° 39 ' 50 " . At a point 75.5 ft . farther down , measured along the incline , the angle of ele . vation was found to be 39 ° 23 ' 20 " . How high is the tower ? 37 ...
Página 108
... tower and on the same side of the tower , are measured and found to be 28 ° 14 ' and 42 ° 47 ' respectively ; find the distance between the objects . 101. Find the area of a triangular field whose sides are 48 rods , 62 rods , and 74 ...
... tower and on the same side of the tower , are measured and found to be 28 ° 14 ' and 42 ° 47 ' respectively ; find the distance between the objects . 101. Find the area of a triangular field whose sides are 48 rods , 62 rods , and 74 ...
Página 109
... tower the angle of elevation & of the top of the tower is the complement of the angle of elevation of a flagstaff on top of the tower ; show that the length of the staff is 2 a cot 2 α . 114. A flagstaff a feet high is on a tower ...
... tower the angle of elevation & of the top of the tower is the complement of the angle of elevation of a flagstaff on top of the tower ; show that the length of the staff is 2 a cot 2 α . 114. A flagstaff a feet high is on a tower ...
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Términos y frases comunes
angle opposite angles of depression colog COMMON LOGARITHMS complex number computed cos a cos cos-¹ cos¹ cos² cos³ cot-¹ cot² cotangent coty csc² cube root decimal point determine difference Equating the real Find the height find the value flagpole four-place tables fundamental relations given angles greater than 90 Hence interpolation inverse function law of cosines law of sines law of tangents less than 180 line values Log Cot log sin ẞ loga logarithms of numbers mantissa Moivre's theorem negative number of degrees quadrant radians roots of unity sec-¹ sec² sides are given Similarly sin a cos sin a sin sin-¹ sin(a+b sin¹ sin² sin³ solution Solve the following spherical right triangle spherical triangle square root ẞ cot tan-¹ tan² tangent terminal line tower trigonometric functions Va² α α απ π π ייד
Pasajes populares
Página 4 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 130 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 4 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 111 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Página 3 - 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 85 - B is negative, and BD — — a cos B. The substitution of this in (4) leads us again to (3). Thus we see that (3) is true in all cases. THE LAW OF COSINES. The square of any side .of a plane triangle is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle. This may be regarded as a generalization of the Pythagorean Theorem to which it reduces when the included angle is a right angle. These two laws are among the most important of...
Página 2 - If the number is greater than 1, the characteristic is one less than the number of places to the left of the decimal point.
Página 131 - By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b...
Página 31 - The product of all the lines, that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle whose radius is a, to all the other angular points = no.
Página 111 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.