Question

Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.​

Answer 1

M = 29

27.31838095 = n

16.8511209 = p

Explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A sin B sin C

------------ = ---------- = ------------

a b c

sin 118 sin 29

------------ = ----------

n 15

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33 sin 29

------------ = ----------

p 15

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p