In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. Find the length of r, to the nearest 10th of an inch.

Question

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. Find the length of r, to the nearest 10th of an inch.

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Faith 3 weeks 2021-09-23T21:44:04+00:00 2 Answers 0

Answers ( )

    0
    2021-09-23T21:45:47+00:00

    Answer:

    Step-by-step explanation:

    0
    2021-09-23T21:45:56+00:00

    Answer:

    365.9 Inches

    Step-by-step explanation:

    To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,

    a/Sin A = b/Sin B = c/Sin C

    Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

    Hence,

    58/Sin 19 = r/Sin 115

    r = 58 Sin 115/ Sin 19

    = 365.9 Inches

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