Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
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Answer:
happy mothers day
Step-by-step explanation:
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Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, we are given the following dimension for one of the beds;
Length = 16cm
Width = 8cm
If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;
2cm = 1ft
16cm = x fr
cross multiply
2x = 16
x = 8ft
Hence 16cm = 8ft (based on the scale)
Similarly:
2cm = 1ft
8cm = x fr
cross multiply
2x = 8
x = 4ft
Area of the garden bed (in feet) = Length * Width
Area of the garden bed = 8ft * 4ft
Area of the garden bed = 32ft²
Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.
Answer:
The Answer is (A)
Step-by-step explanation:
A sample of each symbol (point, line, or area), and a short description of what the symbol means
