Tanisha Pal Singh
3 Dec 2018
1) Cos 67= 18÷ x
0.39= 18÷ x
x= 18÷ 0.39
x= 46.153 feet

2) P^2 + B^2= H^2
x^2 + 13^2 = 17^2
x^2 + 169= 289
x^2= 289- 169
x^2= 120
x= √120
x= 10.954

3) Tan 15= x÷ 22
0.268= x÷22
x= 0.268×22
x= 5.896

4) Sin = 18÷ 25
Sin theta= 0.72
Theta= sin^-1 ( 0.72)
Theta= 46.054

5a) c^2= a^2+ b^2- 2ab× Cos C
c^2= 30^2+ 20^2- 2(30) (20) × Cos 59
c^2= 900+ 400 – 1200× 0.515
c^2= 1300-618
c^2= 682
c= 26.115

5b) a÷ Sin A= c÷ Sin C
30÷ Sin A= 26.115÷ Sin 59
30÷ Sin A= 26.115 ÷ 0.857
Now we are going to cross multiply
0.857×30= 26.115( Sin A)
25.71= 26.115( Sin A)
25.71÷ 26.115=Sin A
0.984= Sin A
Sin ^-1(0.984)= A
79.737°= A

5c) A+ B + C = 180
79.737+ B+ 59= 180
138.737+ B= 180
B=180- 138.737
B= 41.263
