Question

Find the value of x and the value of y.

Answer 1

The correct answer option is D. x = 15, y = 5
`√(3)`

Explanation:

We are given a right angled triangle with one known angle, 60°, and one known side,
`10√(3)` which is the hypotenuse and we are to find the remaining two side lengths.

Using sine to find x:

`sin 60=(x)/(10√(3) )`

`x=sin60` ×
`10√(3)`

`x=15`

Using cos to find y:

`cos 60 = (y)/(10√(3) )`

`y=cos 60` ×
`10√(3)`

`y=(1)/(2)` ×
`10√(3)`

`y=5√(3)`

Answer 2

The answer is (D) ⇒ x = 15 and y = 5√3

Explanation:

∵The triangle is right angle Δ

∵ measure of an angle is 60°

Use trigonometry functions to find x and y

∵ sin60° = x/10√3

∴ x = 10√3 × sin60° = 15

∴ x = 15

∵ cos60° = y/10√3

∴ y = 10√3 × cos60° = 5√3

∴ y = 5√3