# Maths

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.

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1. I hope you made the sketch.
I have a nice right-angled triangle HRP
with angle R = 90° , HR = 40, RP = 30

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2. Thanks.

Could you tell me the angles for H and P

R= 90
H= ?
p = ?

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3. use simple trig

for angle H
= 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...

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4. Thanks.

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5. Can you tell me the bearing of P from H?

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