Question

In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.

Answer 1

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​

=

b

sinB

​

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

​

=

35

sin48

​

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

​

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

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