Question

Please help?

Answer 1

`"see explanation"`

Explanation:

`(1)`

`"given a triangle with 2 sides and the included angle then"`

`"area "=1/2 xxabxxsinC`

`"where a, b are the sides and C the included angle"`

`rArr"area "=1/2xx26xx30xxsin68^@`

`color(white)(rArr"area ")~~361.6" square m"`

`(2)`

`angleQRP=180^@-(37+98)^@=45^@`

`"to find p and r use the "color(blue)"sine rule"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(p/(sinP)=q/(sinQ)=r/(sinR))color(white)(2/2)|)))`

`"where P, Q and R are the angles opposite sides"`
`"p, q and r"`

`rArrp/(sin98^@)=17/(sin37^@)larrcolor(blue)"cross multiply"`

`rArrp=(17xxsin98^@)/(sin37^@)~~27.97" to 2 dec. places"`

`color(blue)"Similarly"`

`r/(sin45^@)=17/(sin37^@)`

`rArrr=(17xxsin45^@)/(sin37^@)~~19.97" to 2 dec. places"`