Question

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

Answer 1

First option:
`13 √(2)`

Explanation:

`cosθ = (adj)/(hyp)`

`cos45° = (13)/(y)`

Multiply both sides by y:

`y(cos45°) = 13`

`y ( ( √(2) )/(2) ) = 13`

`y = 13 / ( √(2) )/(2)`

`y = 13 * (2)/( √(2) )`

`y = (26)/( √(2) ) ( ( √(2) )/( √(2) ) )`

`y = (26 √(2) )/(2)`

`y = 13 √(2)`

Answer 2

Option A

`{\pink{y = 13 √(2)}}`

Solution :-

`\sf{cosθ= ( B)/(C) }`

`\dashrightarrow \sf \: {cos45° = (13)/(y) }`

Multiply both sides by y:

`\sf \ \: y(cos45°) = 13y(cos45°)=13`

`\sf \: y ( ( √(2) )/(2) ) = 13`

`\implies \sf \: y = 13 / ( √(2) )/(2)`

`\sf \implies \: y = 13 * (2)/( √(2) )`

`\implies \sf \: y = (26)/( √(2) ) ( ( √(2) )/( √(2) ) )`

`\implies \sf y = (26 √(2) )/(2)`

`\sf \boxed {\pink{y = 13 √(2)}}`