Question

Calculate the length b to two decimal places

Answer 1

The answer's A. 29.84

Answer 2

In figure given two sides and the included angle (SAS) so we can apply cosine rule.

`b^(2)=a^(2)+c^(2)-2accosB.`

In the figure a=22,c=14,<B=110°

Substituting these values in cosine formula :

`b^(2)=22^(2)+14^(2)-2(22)(14)cos 110 .`

`b^(2)=484+196-616(-0.34)`

`b^(2)=680+209.44`

`b^(2)=889.44`

b=29.84.

Option A is the right answer.