<h2>
Hello!</h2>
The answer is:

<h2>Why?</h2>
To solve the problem, remember to set your calculator in "degree mode"
So, we are given that the angle A is equal to 68°
So, we have that:

Hence, we have that:

Have a nice day!
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
As we can see on the picture we have a rectangle and half of circle.
The areas for half circle and rectangle are:

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.
Now we calculate the areas.

The area of the figure is approximately 74ft squared.
Hope this helps.
r3t40
It’s hard to tell because there isn’t a visual. My guess is that it’s ASA~ and SAS~ because T is congruent to P and A and F have the same angle