Question

Help fast please! (Find the value of y.)!!!

Answer 1

y = 10 and x = 5

Explanation:

using the sine ratio in the right triangle and the exact value

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(5√(3) )/(y)` =
`(√(3) )/(2)` ( cross- multiply )

y ×
`√(3)` = 10
`√(3)` ( divide both sides by
`√(3)` )

y = 10

-----------------------------------

using Pythagoras' identity in the right triangle

x² + (5
`√(3)` )² = y² = 10²

x² + 75 = 100 ( subtract 75 from both sides )

x² = 25 ( take square root of both sides )

x =
`√(25)` = 5