Respuesta :
Answer:
The length of ST to the nearest tenth of a foot is 5.2 ft
Step-by-step explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;
[tex]\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}[/tex]
Therefore, for triangle RST, we will have;
[tex]\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}[/tex]
Therefore;
[tex]\frac{5.8}{Sin90 } = \frac{ST}{sin64 }[/tex] from which
[tex]{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft[/tex]
Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.
