Question

Question 11 Find the value of y. X+ 13 45° No links please! Thanks for the help!​

Answer 1

Answer:

First option: $13 \sqrt{2}$

Step-by-step explanation:

$cosθ = \frac{adj}{hyp}$

$cos45° = \frac{13}{y}$

Multiply both sides by y:

$y(cos45°) = 13$

$y ( \frac{ \sqrt{2} }{2} ) = 13$

$y = 13 \div \frac{ \sqrt{2} }{2}$

$y = 13 \times \frac{2}{ \sqrt{2} }$

$y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )$

$y = \frac{26 \sqrt{2} }{2}$

$y = 13 \sqrt{2}$

Answer 2

Option A

${\pink{y = 13 \sqrt{2}}}$

Solution :-

$\sf{cosθ= \frac{ B}{C} }$

$\dashrightarrow \sf \: {cos45° = \frac{13}{y} }$

Multiply both sides by y:

$\sf \ \: y(cos45°) = 13y(cos45°)=13$

$\sf \: y ( \frac{ \sqrt{2} }{2} ) = 13$

$\implies \sf \: y = 13 \div \frac{ \sqrt{2} }{2}$

$\sf \implies \: y = 13 \times \frac{2}{ \sqrt{2} }$

$\implies \sf \: y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )$

$\implies \sf y = \frac{26 \sqrt{2} }{2}$

$\sf \boxed {\pink{y = 13 \sqrt{2}}}$