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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
Learn more about the sine ratio on:
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Hey there!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:
Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:
4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:
That's because 6/3 = 2.
Hope this helps!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:
Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:
4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:
That's because 6/3 = 2.
Hope this helps!