Question

What is the answer

Answer 1

B

Explanation:

sinΘ =
`(6)/(7)` =
`(opposite)/(hypotenuse)`

This is a right triangle with hypotenuse 7 and opposite side 6

Use Pythagoras' identity to find the adjacent side a

a² + 6² = 7²

a² + 36 = 49 ( subtract 36 from both sides )

a² = 13 ( take square root of both sides )

a =
`√(13)`

Then

cosΘ =
`(adjacent)/(hypotenuse)` =
`(√(13) )/(7)` → B