Answer:
1 2/13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.
Answer:
L = w + 5
P = 2(L+w) = 42
L + w = 21
w+5 + w = 21
2w + 5 = 21
2w = 16
w = 8 ft
L = w+5 = 13 ft.
Rectangle is 13 ft by 8 ft
Area = 13(8) = 104 ft2
Check: P = 2(L+w) = 2(13+8) = 2(21) = 42 ft