Answer:
x = 5 root 3
y = 30
z = 10
Step-by-step explanation:
The triangle has a right angle of 90° and a 60° angle.
The third angle must have measure 30° since 180° - 90° - 60° = 30°.
We have a 30-60-90 right triangle.
In a 30-60-90 the ratio of the lengths of the sides is:
short leg : long leg : hypotenuse
1 : root 3 : 2
The long leg is root 3 times the short leg.
The hypotenuse is 2 times the short leg.
short leg: 5
long leg: 5 * root 3 = 5 root 3
long leg: 5 * 2 = 10
x = 5 root 3
y = 30
z = 10
