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10. !point) A rectangular tank is 2.17m×4.56m×6.36 m. Determine the length of th

ID: 3026451 • Letter: 1

Question

10. !point) A rectangular tank is 2.17m×4.56m×6.36 m. Determine the length of the diagonal that rns from one bottom corner of the tank to the opposite top corner of the tank Round your answer to at least 3 significant figures Length of the diagonal (1 point) Consider the following diagram. 1t is given that a = 5.6 cm, b = 9.7 cm, c = 6.8 crm and A= 8.5. Find B. Round your answer to at least 3 significant figures. 12. (1 point) Consider the following right triangle. B. If LCI = 4 l and the angle = 20, find the missing angles and sides. Round your answers to at least 1 decimal place.

Explanation / Answer

10)

length of diagonal =[2.172+4.562+6.362]

length of diagonal =[4.7089+20.7936+40.4496]

length of diagonal =[65.9521]

length of diagonal =8.12 m

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11)

smaller triangle and bigger triangle are similar

so the ratio of their respective sides are equal

(a/(a+b))=(A/B)

=>(5.6/(5.6+9.7))=(8.5/B)

=>B=(8.5/5.6)(5.6+9.7)

=>B=23.2 cm

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12)

B=90o

+ +B= 180o

+20o +90o= 180o

=> =70o

by law of sines |AB|/sin =|AC|/sinB =|BC|/sin

|AB|/sin20o =|AC|/sin90o =41/sin70o

|AB|/sin20o =41/sin70o,|AC|/sin90o =41/sin70o

|AB| =41sin20o/sin70o,|AC| =41sin90o/sin70o

|AB| =14.9,|AC| =43.6

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