Question

solve this question. ( 3 points, P,Q,R are on a horizontal plane. point Q is on a bearing of 120° and a distance of 80m from P. Point R is on a bearing of 045°, and a distance of 150m from point Q. ¡. calculate correct to 2 significant figure the distance of P from R. ¡¡. Find the perpendicular distance from P to R. Illustrate it with a well labelled diagram.

Answer 1

Draw a diagram.
(i) use the law of cosines. The distance
PR^2 = 80^2 + 150^2 - 2*80*150 cos105°
(ii) perpendicular to what? I suspect you want one of the altitudes of triangle PQR. From (i) you now have all 3 sides, so you can find all 3 angles using the law of sines.

Answer 2

solve this question. ( 3 points, P,Q,R are on a horizontal plane. point Q is on a bearing of 120° and a distance of 80m from P. Point R is on a bearing of 045°, and a distance of 150m from point Q. ¡. calculate correct to 2 significant figure the distance of P from R. ¡¡. Find the perpendicular distance from P to R. Illustrate it with a well labelled diagram.

Answer 3

Using cosine rule
I.) q²=150²+80²-
(2×150×80)cos(105)°
q²=190.66~191m
II) perpendicular distance=sin24°×190/sin21°
=170m

Answer 4

The diagram I need it