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In ΔTUV, t = 450 inches, v = 860 inches and ∠V=17°. Find all possible values of ∠T, to the nearest degree.

User Srparish
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1 Answer

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The value of angle T in the triangle is 8.8°

To find the measure of angle of T we need to use sine rule

sine rule mathematically states that

a/sinA = b/sinB

Sine rule is used to find missing angle or side of a triangl.

Using sine rule

t/sinT = v/sinV

450/sinT = 860/sin17

450sin17 = 860sinT

131.57 = 860sinT

sinT = 131.57/860

sinT = 0.153

T = sin⁻¹ 0.153

T = 8.8°

Therefore, the measure of angle T is 8.8°

User Deuberger
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