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;
![\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%5Calpha%20%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%5Cbeta%20%7D%20%3D%20%5Cfrac%7Bc%7D%7Bsin%5Cgamma%7D)
Therefore, for triangle RST, we will have;
![\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}](https://tex.z-dn.net/?f=%5Cfrac%7BRS%7D%7BSinT%20%7D%20%3D%20%5Cfrac%7BST%7D%7BsinR%20%7D%20%3D%20%5Cfrac%7BRT%7D%7BsinS%7D)
Therefore;
from which
![{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft](https://tex.z-dn.net/?f=%7BST%7D%7B%20%7D%20%3D%20%5Cfrac%7B5.8%20%5Ctimes%20sin64%7D%7BSin90%20%7D%20%3D%205.213%20%5C%2C%20ft)
Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.
Answer:
There is no question??
Step-by-step explanation:
You are told that the angle the shape makes is 90 hence its a quarter of the circle so you just find the area of the full circle and divide by 4
(6^2*pi)/4
36pi/4
9pi which is around 27 2 Sig fig