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Solve the right triangle by finding the missing side. Solve for x round to the nearest hundredth

Solve the right triangle by finding the missing side. Solve for x round to the nearest-example-1
User Liala
by
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2 Answers

5 votes

Answer: The answer for the value of x is 8.69

Explanation:

Considering the right-angled triangle and applying trigonometric ratios, we’ll have:

Sin 67^o = 8/x

By re-arranging terms to make x the subject of the formula, we’ll have:

x=8/sin⁡ 67^o = 8.69 (to the nearest hundredth)

Hence, the value of x is 8.69

User Srikar Kulkarni
by
8.4k points
3 votes

The given triangle can be redrawn as,

In the given triangle ABC, BC=8.

AC=x

Applying trigonometric property in the above triangle,


\sin Solve the above equation for x.[tex]\begin{gathered} x=(8)/(\sin 67^(\circ)) \\ x=8.69 \end{gathered}

Therefore, the value of x is 8.69.

Solve the right triangle by finding the missing side. Solve for x round to the nearest-example-1
User Louoso
by
9.2k points

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