Homework Help: math

Posted by Anonymous on Saturday, June 2, 2012 at 5:05pm.

Three points P, Q and R are on a level ground. Q is 240m from P on a bearing of 230°. R is 120m to the east of P.

(a) Using a scale of 1cm to represent 40m, draw a diagram to show the positions of P, Q and R in the space provided below.
(b) Determine :

(i) the distance of R from Q;
(ii) the bearing of R from Q

(c) A vertical post stands at P and another one at Q. A bird tales 18 seconds to fly directly from the top of the post at Q to the top of the post at P. Given that the angle of depression of the top of the post at P from the top of the post at Q is 9°

Calculate;
(i) The distance, to the nearest meter, the bird covers;
(ii) The speed of the bird in km/h

math - Steve, Saturday, June 2, 2012 at 5:31pm
if P is at (0,0), then we have
Q: (-184,-154)
R: (120,0)

so, RQ = 341
bearing = 180° + arctan(304/154) = 243°
math - Steve, Saturday, June 2, 2012 at 5:37pm
d = 341/cos9° = 345m
speed = 345m/18s * 1km/1000m * 3600s/hr = 69km/hr

Answer this Question

Related Questions

geometry - Three points P, Q and R are on a level ground. Q is 240m from P on a ...
trig/precalc - An airplane with a ground speed of 750 mph and a bearing of N 40 ...
physics - Standing on top of the science building, which is 48 m high, a group ...
bearing - Three towns p, q and r are such that the distance between p and q is ...
bearing - Three towns p, q and r are such that the distance between p and r is ...
bearing - Three towns p, q and r are such that the distance between p and q is ...
Physics - If you throw a rock as far as you can from the ground level of a ...
math - a plane with an airspeed of 192mi/h is headed on a bearing of 121 degrees...
Math - a plane with an airspeed of 192mi/h is headed on a bearing of 121 degrees...
math - a hot-air balloon is seen in the sky simultaneously by two observers ...

For Further Reading

First Name:
School Subject:
Answer: