Question

Solve for x. Round to the nearest tenth, if necessary.

Answer 1

Answer:

x = 63.9

Step-by-step explanation:

We have:

$\frac{QR}{sin35}$ = $\frac{78}{sin90}$

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have: $x^{2}$ + $QR^{2}$ = $78^{2}$ <=> $x^{2}$ + $44.7^{2}$ = $78^{2}$ <=> $x^{2}$ = 6084 - 1998.09

=> $x^{2}$ = 4085.91

=> x = $\sqrt{4085.91}$ = 63.9211.. = 63.9

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