A rock, R, is 40 km from a harbour, H, on a bearing of 040°. A port, P, is 30 km from R on a
bearing of 130°.
Draw a sketch showing the points H, R and P and work out the size of angle HRP.
I hope you made the sketch.
I have a nice right-angled triangle HRP
with angle R = 90° , HR = 40, RP = 30
Thanks.
Could you tell me the angles for H and P
R= 90
H= ?
p = ?
use simple trig
for angle H
tanH = opposite/adjacent
= 30/40 = .75
angle H = appr.36.9°
then by simple subraction, angle P = 90-36.9 = 53.1°
use 2nd Tan on your calculator
(tan inverse or arctan, depending on your calculator
on mine I do:
2ndF
tan
.75
=
to get 36.869...
Thanks.
Can you tell me the bearing of P from H?
To draw a sketch showing the points H, R, and P, follow these steps:
1. Draw a point and label it as H. This will represent the harbour.
2. From H, draw a line segment of 40 km in the direction of a bearing of 040°. Label the endpoint of this line segment as R.
3. From R, draw a line segment of 30 km in the direction of a bearing of 130°. Label the endpoint of this line segment as P.
Now that you have a sketch of the points, you can work out the size of angle HRP. To do this, follow these steps:
1. Draw a line segment from H to P. This will be the line connecting the two points.
2. Label the angle formed by lines H->R and H->P as angle HRP.
To measure angle HRP, you can use a protractor or a angle measuring tool. Place the center of the protractor on point H, align the baseline with line segment H->R, and read the angle formed between this baseline and line segment H->P.
Once you measure the angle, you will have the size of angle HRP.