In ΔRST, t = 16 inches, s = 19 inches and ∠S=113°. Find all possible values of ∠T, to the nearest degree

Respuesta :

Answer: 51 degrees

This is from Delta Math.

The measure of ∠T to the nearest degree is 51 degrees

Sine rule

Sine rule is a the used to find the sides and angles of a triangle

Given the following parameters

t = 16 inches,

s = 19 inches

∠S=113°

Required

∠T

According to the rule

t/sin∠T = s/sin∠S

16/sin∠T = 19/sin113

sin∠T = 16sin113/19
sin∠T = 0.775

∠T = 51 degrees

Hence the measure of ∠T to the nearest degree is 51 degrees

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