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LUCKY_DIMON [66]
1 year ago
8

Calculate the measure of

Mathematics
1 answer:
kenny6666 [7]1 year ago
7 0

The measure of ∠C using sine rule formula and as shown in the triangle is 39.8°.

<h3>SINE RULE FORMULA</h3>

The sine rule formula gives the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinA = b/sinB = c/sinC,

From the diagram, to calculate the measure of the ∠C, we use the sine rule formula.

  • b/sinB = c/SinC............ Equation 1

From the diagram,

Given:

  • b = 9
  • c = 6
  • B = 105°

Substitute these values into equation 1 and solve for angle C

  • 9/sin105° = 6/sinC
  • sinC = (sin105°×6)/9
  • sinC = 0.64
  • C = sin⁻¹(0.64)
  • C = 39.8°

Hence, ∠C is 39.8°.

Learn more about sine rule formula here: brainly.com/question/28523617

#SPJ1

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