Radio direction finders are set up at points A and B, 8.68 mi apart on an east-west line.?

From A it is found that the bearing of a signal from a transmitter is N 54.3 degrees E, while from B it is N 35.7 degrees W. Find the distance of the transmitter from B, to the nearest hundredth of a mile.

Please help, really confused!

2 Answers

  • 9 years ago
    Favorite Answer

    ➊ Draw a diagram.

    • Point A and B are 8.68 mi apart on an E-W line.

    • Point "S" (for 's'ource of 's'ignal) is on a bearing N 54.3º E from point A, and

    • Point "S" is also on a bearing N 35.7º E from point B

    ➋ You should now be looking at an obtuse ∆ABS, with:

    • ∠A = 90 – 54.3 = 35.7º

    • ∠B = 90 + 35.7 = 125.7º

    • ∠S = 180 – 35.7 – 125.7 = 18.6º

    ➌ Apply the Law of SInes: a : sinA = b : sinB = s : sinS, where:

    • s = 8.68 miles

    • ∠A = 35.7º

    • ∠S = 18.6º

    and solve for side "a"

    (Can I leave that with you?)

    Hope this helps! Cheers! :)


    • Login to reply the answers
  • 3 years ago

    Poetry is: a million. the paintings of rhythmical composition, written or spoken, for thrilling exhilaration by technique of gorgeous, resourceful, or bigger recommendations. 2. literary paintings in metrical type; verse. 3. no longer prose. 4. poetic features in spite of the indisputable fact that manifested: the poetry of trouble-free acts and issues. 5. poetic spirit or feeling: The pianist performed the prelude with poetry. 6. some thing suggestive of or likened to poetry: the organic poetry of a fine looking view on a clean day. And Prose is: a million. the commonplace style of spoken or written language, with out metrical shape, as outstanding from poetry or verse. 2. remember-of-actuality, generic, or boring expression, high quality, discourse, and so on. 3. Liturgy. a hymn sung after the slow, originating from a custom of putting words to the jubilatio of the alleluia.

    • Login to reply the answers
Still have questions? Get your answers by asking now.