Two observer p and q 32m apart on the same horizontal ground and the same side of a kite (k), observed the kite at angle of elevation 27° and 48° respectively, calculate correct to 1 decimal place

Question

(I) the height of the kite

(II)the distance between the kiteand observer P

Answer 1

Draw a figure!!!!

Let p be further away from the kite than q.

Angle pqk is 132°

Then angle pkq is 21°

Now use the law of sines to find the lengths of qk and pk.

Lastly the height of the kite is qk *sin 48°

The distance on the ground from q to the kite is qk*cos 48°

and the distance from p to the kite is that answer + 32