Question

Solve for the measure of x.

Answer 1

Explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

`√(3)`/2=x/8
`√(5)`(do cross multiplication)

2x=
`\sqrt{3` *8
`√(5)`

2x=8
`√(15)`

x=8
`√(15)`/2

x=4
`√(15)`

for y

using pythagoras theorem

h^2=p^2+b^2

(8
`√(5)` )^2=(4
`√(5)` )^2+b^2

320=80+b^2

320-80=b^2

240=b^2

`√(240)` =b

4
`√(15)`=y