Answer:
B = 48.7°
C = 61.3°
b = 12
Step-by-step explanation:
Given:
A = 70°
a = 15
c = 14
Required:
B, C, and b
Solution:
✔️Using the law of sines, let's find C:
Sin C/c = Sin A/a
Plug in the values
Sin C/14 = Sin 70/15
Cross multiply
Sin C × 15 = Sin 70 × 14
Divide both sides by 15
Sin C = (Sin 70 × 14)/15
Sin C = 0.8770
C = Sin^{-1}(0.8770)
C = 61.282566° = 61.3° (nearest tenth)
✔️Find B:
B = 180 - (70 + 61.3) (sum of triangle)
✔️Find b using the law of sines:
b/sinB = a/sinA
b/sin 48.7 = 15/sin 70
b*sin 70 = 15*sin 48.7
Divide both sides by sin 48.7
b = (15*sin 48.7)/sin 70
b = 11.9921789
b = 12.0 (nearest tenth)
d
f(g(x))=3x+7
=3(2x-5)+7
=6x-15+7
=6x-8
Well if a story is 14-16 feet tall, then it would be about 50 floors.
Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.
