3 years ago

Gregorys room is 16 feet long and 12 feet wide

Mathematics

1 answer:

VLD [36.1K]3 years ago

7 0

Answer: 192 ft

Step-by-step explanation:

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3 years ago

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Stolb23 [73]

Answer:

Approximatley 5.8 units.

Step-by-step explanation:

We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:

$\frac{\sin(A)}{a}=\frac{\sin(B)}{b} =\frac{\sin(C)}{c}$

Replacing them with the respective variables, we have:

$\frac{\sin(S)}{s} =\frac{\sin(T)}{t} =\frac{\sin(R)}{r}$

Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for <em>t</em>. Ignore the third term:

$\frac{\sin(20)}{s}=\frac{\\sin(17)}{5}$

Solve for <em>s</em>, the unknown side. Cross multiply:

$\frac{\sin(20)}{s}=\frac{\sin(17)}{5}\\5\sin(20)=s\sin(17)\\s=\frac{5\sin(20)}{\sin(17)} \\s\approx5.8491\approx5.8$

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3 years ago

Gregorys room is 16 feet long and 12 feet wide ​

Gregorys room is 16 feet long and 12 feet wide