# Maths

posted by .

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.

• Maths -

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

• Maths -

Thanks.

Could you tell me the angles for H and P

R= 90
H= ?
p = ?

• Maths -

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...

• Maths -

Thanks.

• Maths -

Can you tell me the bearing of P from H?

## Similar Questions

1. ### 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.
2. ### Maths- Trigonometry

4. A,B and C are points on a horizontal plane. A is 75 m from C on a bearing of 210 degrees and the bearing of B from C is 120 degrees. The bearing of B from A is 075 degrees. From A the angle of elevation of the top T of a vertical …
3. ### trig

Q1: Prove cos^2t+4cost+4/cost+2=2sect+1/sect Q2: A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from …
4. ### TRIGONOMETRY

a ship leaves port with a bearing of S 42deg W after traveling 7 miles, the ship turns 90deg and travels on a bearing of N 52deg W for 10 miles at that time, what is the bearing of the ship to the port?
5. ### TRIG HONORS CH: 5.8

a ship leaves port with a bearing of S 42deg W after traveling 7 miles, the ship turns 90deg and travels on a bearing of N 52deg W for 10 miles at that time, what is the bearing of the ship to the port?
6. ### Presbyterian Boys' Senior High

Q, P and R are three villages on a level ground. Q is 4km on a bearing of 040° from P, while R is 3km on a bearing of 130° from Q. Calculate the distance and bearing of P from R.
7. ### math(bearing)

Three points X,Y and Z lying in the same horizontal plane are such that the bearing of X and Y from Z are 300 and 280 respectively,/YZ/=13m if the bearing of Y from X is 220 Degrees, find the bearing of Z from Y.
8. ### maths

a ships leaves port R, sails to S and then to port T. the bearing from R is 112, the bearing of T from S is 33 and the distance is 75km and the distance RS is 56. a) draw the diagram showing the journey of the ship from R to T. showing …
9. ### Maths

A yacht sets sail from a harbour and sails on a bearing of 065T for 3.4km. it then turns and sails on a bearing of 127T for another 5km. On what bearing (to the nearest minute) should the yacht sail if it was to travel directly back …
10. ### bearing

A ship is due east of a harbour. Another ship is also 3km from the harbour but on a bearing 042 degrees from it a. Find the distance between the two ships b. Find the bearing of the second ship from the first ship

More Similar Questions