DF = 6 cm
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The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
<h3>What are Trigonometric functions?</h3>The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The sum of all the angles can be written as,
∠A + ∠B + ∠C = 180°
90° + 62° + ∠C = 180°
∠C = 28°
Sin(∠B) = AC/BC
Sin(∠B) = b/8
b = 8 × Sin(62°)
b = 7.06
Cos(∠B) = AB/BC
Cos(∠B) = c/8
c = 8 × Cos(62°)
c = 3.76
Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
Learn more about Trigonometric functions:
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