Question

Solve for the measure of x.

Answer 1

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

$\sqrt{3}$/2=x/8$\sqrt{5}$(do cross multiplication)

2x=$\sqrt{3$ *8$\sqrt{5}$

2x=8$\sqrt{15}$

x=8$\sqrt{15}$/2

x=4$\sqrt{15}$

for y

using pythagoras theorem

h^2=p^2+b^2

(8$\sqrt{5}$ )^2=(4$\sqrt{5}$ )^2+b^2

320=80+b^2

320-80=b^2

240=b^2

$\sqrt{240}$ =b

4$\sqrt{15}$=y