Question

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

Answer 1

x = 48.6°

Explanation:

We are heree given a right angled triangle in which we are interested in finding the value of unknown angle " x " . with respect to angle x , HG is perpendicular and FH is hypotenuse. Also , in right angled triangle, sine is defined as the ratio of perpendicular and hypotenuse.

So that ,

`\implies \sin\theta = (HG)/(HF) \\`

`\implies \sin x =(1.2)/(1.6)\\`

`\implies \sin x = (3)/(4)\\`

`\implies x = \arcsin\bigg((3)/(4)\bigg)\\`

`\implies x = 48.59^o\\`

Rounding to nearest tenth,

`\implies x = 48.6^o \\`

Hence the value of x is 48.6° .

Answer 2

48.6

Explanation:

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Using Sin^-1

Sin^-1 (1.2/1.6) = 48.5903