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3 years ago

What temperature is 23 above freezing in fahrenheit

Mathematics

2 answers:

valina [46]3 years ago

6 0

The temperature would be 55 degrees fahrenheit

charle [14.2K]3 years ago

6 0

Freezing in Fahrenheit is 32 degrees. So add 23 and you have 55 degrees Fahrenheit and that's your answer :)

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$\bold{\huge{\green{\underline{ Solution}}}}$

$\bold{\underline{ Given :- }}$

We have given a right angled triangle whose values are m, n and 2

$\bold{\underline{ To \: Find :- }}$

We have to find the value of m and n

$\bold{\underline{ Let's \: Begin :- }}$

In the given right angled triangle, we have

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Now, By using trigonometric ratios 

$\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}$

$\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}$

According to the question :-

$\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}$

$\bold{ 1/√2= }{\bold{\frac{2}{m}}}$

$\bold{\red{ m = 2√2 \: units }}$

We know that , Sum of Angles of triangle is 180° .

Therefore, 

Let the unknown angle be x

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$\sf{ x = 180° - 135 ° }$

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$\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}$

$\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}$

$\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}$

$\bold { n = 2√2/√2 }$

$\bold{\red{ n = 2\: units }}$

Thus, The value of m = 2√2 and n = 2

$\sf{\blue{ Hence, \: option \: D \: is \: Correct }}$

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