Question

Find the value of x. Round your answer to the nearest tenth.

Answer 1

• Value of x is 34.9 (nearest tenth)

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Explanation:

In given right angled traingle:

• AC (Hypotenuse) = 20
• ∠ACB = 35°
• AB (Perpendicular) = x

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In ∆ABC,

`\: \: \: \: \dashrightarrow \: \: \: \sf \frac {AC}{AB} = \sin35° \\`

`\: \: \: \: \dashrightarrow \: \: \: \sf \frac {20}{x} = 0.5736 \\`

`\: \: \: \: \dashrightarrow \: \: \: \sf x = \frac {20}{0.5736} \\`

`\: \: \: \:{ \pmb{ \pink{ \sf{ \dashrightarrow \: \: \: { x = 34.867 }}}}}`

Hence,

• Value of x is 34.9 (nearest tenth)