h=6
A=((a=b)/2)h
33=((4+7)/2)h
33=(11/2)h
33=5.5h
6=h
Answer:
Diameter = 12 ft.
Step-by-step explanation:

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Angle A and angle B sums up to 180 (interior angles)
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
angle A = 6(18)-35 = 73 degrees
Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)