Answer:
z = 47.2°
w = 42.8°
y = 42.8°
x = 47.2°
Step-by-step explanation:
found altitude ('h') first: 6/h = h/7; h = [tex]\sqrt{42}[/tex]
found base by using Pythagorean Theorem:
7² + ([tex]\sqrt{42}[/tex])² = c²
c = [tex]\sqrt{91}[/tex]
found angle z using Rule of Sines:
sin 90 / [tex]\sqrt{91}[/tex] = sin z / 7
arcsin z = 7 / [tex]\sqrt{91}[/tex] = 47.2°
found angle w by adding 90 and 47.2, then subtracting from 180 to get 42.8°
found angle y by subtracting m∡z from 90° to get 42.8°
found angle x by adding 90 and 42.8°, then subtracting from 180
