Question

the angle of elevation of a top of a tree from point P on horizontal ground is 30 degrees.Fromanother point Q 8 METRES FROM THE BASEof the tree,the angle of elevation of the top of the tree is 48 degrees. a)calculate to one decimal place the height of the tree b)calculate the distance between P and Q

Answer 1

Did you make your sketch?
let the height of the tree be h metres.
I see a right-angled triangle where
tan 48° = h/8 ----> h = 8tan48°

let PQ = x, then
tan 30° = h/(x+8)
(x+8)tan30° = h, but you know h, so you can find x