Mathematics: In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

The first part for this would be 25/5 from the 25 he originally had divided between 5 people. The second part of this would be +2 for the 2 extra he found after:25/5 + 2(=7)...

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

Ответ:

NicoleQuinn

18.03.2021

Mathematics

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

X=17.17067

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

0,0(0 оценок)

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question