Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
Answer:
Step-by-step explanation:
x and y are supplementary angles, so their sum is 180°.
x+y = 180°
x is 16° less than three times y
x = 3y - 16°
(3y-16°) + y = 180°
4y = 196°
y = 49°
x = 3y-16° = 131°
Answer:
V=314.15
Step-by-step explanation:
V=1/3pi*r^2*h
V=1/3*pi*5^2*12
V=1/3pi*25*12
V=1/3pi*300
V=300/3pi
V=100pi
V=314.15
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
