CAN SOMEONE PLS HELP WITHT HSI ASAP

Question

asked Sep 9, 2022 34.8k views

1 Answer

HosseinK · Answer 1 · 2022-09-15T05:43:58+0000

Answer:

x = ( √(6) )/(2)

y = (3 √(2) )/(2)

Explanation:

$\sin(theta) = (opposite)/(hypotenuse)$

$\cos(theta) = (adjacent)/(hypotenuse)$

$\tan(theta) = (opposite)/(adjacent)$

theta = 30°

hypotenuse = √6

opposite = x

adjacent = y

$\sin(theta) = (opposite)/(hypotenuse)$

$\sin(30) = (x)/( √(6) )$

$\sin(30) * √(6) = x$

( √(6) )/(2) = x

x = ( √(6) )/(2)

$\cos(theta) = (adjacent)/(hypotenuse)$

$\cos(30) = (y)/( √(6) )$

$\cos(30) * √(6) = y$

(3 √(2) )/(2) = y

y = (3 √(2) )/(2)