Answer:
Angle T = 79°
Explanation:
From the question given above, the following data were obtained:
Side opposite U (u) = 2.7 cm
Side opposite S (s) = 3.9 cm
Side opposite T (t) = 4.3 cm
Angle T =?
The value of angle T can be obtained by using cosine rule as illustrated below:
t²= s² + u² – 2suCosT
4.3² = 3.9² + 2.7² – 2 × 3.9 × 2.7 × Cos T
18.49 = 15.21 + 7.29 – 21.06 × CosT
18.49 = 22.5 – 21.06 × CosT
Rearrange
21.06 × Cos T= 22.5 – 18.49
21.06 × Cos T = 4.01
Divide both side by 21.06
Cos T = 4.01 / 21.06
Cos T = 0.1904
Take the inverse of Cos
T = Cos¯¹ 0.1904
T = 79°