Question

If VT=2,what is the length of PT?

Answer 1

Explanation:

`\underline{ \underline{ \text{Given : }}}`

• Perpendicular ( P ) = VT = 2
• Base ( b ) = PT
• 
  `\theta = \tt{60 \degree}`

`\underline{ \underline{ \text{Solution}}} :`

`\tt{ \tan(60 \degree) = (perpendicualar)/(base)}`

⟶
`\tt{ √(3) = (2)/(PT)}`

⟶
`\tt{ √(3) \: PT= 2}`

⟶
`\tt{PT = (2)/( √(3)) }`

⟶
`\tt{PT= \boxed{\tt{ \frac{2 √(3) }{{3} }}}}`

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