Imágenes de páginas
PDF
EPUB
[blocks in formation]

39. Given log 45740 = 4.6602962,

log 45741 = 4.6603057; ; find the number whose logarithm is 4.6602987.

45740.26.

40. Given log 43965 = 4.6431071,

log 43966 = 4.6431170; find the number whose logarithm is 7.6431150. .000439658. .

=

41. Given log 56891 = 4.7550436,

log 56892 = 4.7550512; find the number whose logarithm is .7550480.

=

5.689158. find

42. Given log 34572 = 4.5387245,

log 34573 = 4.5387371; find the number whose logarithm is 2.5387359.

Ans. 345.7291. 43. Given log 10905 = 4.0376257,

log 10906 = 4.0376655; find the number whose logarithm is 3.0376371. 1090.5286. 44. Given log 25725 = 4.4103554,

log 25726 = 4.4103723; find the number whose logarithm is 7.4103720.

Ans. .00000025725982.

In the following six examples the student must take his logarithms from the tables.

45. Required the product of 3670.257 and 12.61158, by logarithms.

Ans. 46287.74. 46. Required the quotient of 1234567 by 54.87645, by logarithms.

Ans. .002249721. 47. Required the cube of .3180236, by logarithms.

Ans. .03216458.

48. Required the cube root of .3663265, by logarithms.

Ans. .7155216.

1.45894.

49. Required the eleventh root of 63.742. 50. Required the fifth root of .07.

.58752.

51. Given

sin 42° 21'=.6736577, sin 42° 22'=.6738727; sin 42° 21' 30".

find

.6737652.

52. Given

sin 67° 22'= .9229865,
sin 67° 23' =.9230984;
sin 67° 22' 48".5.

=

.9230769. 61. Given

[blocks in formation]

56. Given sin 41° 48' =.6665325,

sin 41° 49' =.6667493; find the angle whose sine is .6666666.

41° 48' 37".

57. Given sin 73° 44' =.9599684,

sin 73° 45' =.9600499; find the angle whose sine is .96.

73° 44' 23".2.

58. Given cos 75° 32' = .2498167,

cos 75° 31' = .2500984; find the angle whose cosine is .25.

75° 31' 21".

59. Given cos 53° 7'=.6001876,

cos 53° 8=.5999549; find the angle whose cosine is .6.

53° 7' 48".4.

[merged small][merged small][merged small][ocr errors][merged small][merged small]

log sin 38° 24' = 9.7931949,
log sin 38° 25' = 9.7933543;
log sin 38° 24' 27".

find

9.7932666. find

62. Given

log sin 32° 28' = 9.7298197,
log sin 32° 29' = 9.7300182;
log sin 32° 28' 36".

Ans. 9.7299388.

find

.63. Given

[blocks in formation]

find

9.4660179.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small]

log cot 51° 17' = 9.9039733,
log cot 51° 18'

9.9037144;
, log cot 51° 17' 32".

9.9038352. 9.9164762.

71. Given log sin 16° 19' = 9.4486227,

log sin 16° 20'= 9.4490540; find the angle whose log sine is 9.4488105.

Ans. 16° 19' 26".

72. Given log sin 6° 53'

= 9.0786310, log sin 6° 53' 10"= 9.0788054; find the angle whose log sine is 9.0787743.

6° 53' 8".

73. Given log cos 22° 28' 20"= 9.9657025,

log cos 22° 28' 10"= 9.9657112; find the angle whose log cosine is 9.9657056.

22° 28' 16".

In the following examples the tables are to be used: 74. Find log tan 55° 37' 53".

Ans. 10.1650011. 75. Find log sin 73° 20' 15.7.

9.9813707. 76. Find log cos 55° 11' 12".

9.7565636. 77. Find log tan 16° 0'27".

9.4577109. 78. Find log sec 16° 0' 27".

10.0171747. 79. Find the angle whose log cosine is 9.9713383.

Ans. 20° 35' 16". 80. Find the angle whose log cosine is 9.9165646.

Ans. 34° 23' 25".

81. Find log cos 34° 24' 26". 82. Find log cos 37° 19' 47". 83. Find log sin 37° 19' 47". 84. Find log tan 37° 19' 47". 85. Find log sin 32° 18' 24".6. 86. Find log cos 32° 18' 24".6. 87. Find log tan 32° 18' 24".6.

9.9004540.

9.7827599.

9.8823059.

9.7279096.

9.9269585.

9.8009511.

« AnteriorContinuar »