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3 years ago

In the diagram below , tan theta =square root 3. What is the value of m?

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

$m=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

we know that

In the diagram

$tan(\theta)=\frac{m}{1/2}=2m$

$tan(\theta)=\sqrt{3}$

Equate

$2m=\sqrt{3}$

$m=\frac{\sqrt{3}}{2}$

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}

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Rationalize the denominator by multiplying both numerator and denominator by √10:

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Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

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