You are Here: Home >< Maths

# Shortest Distance Triangle (4iii)

Announcements Posted on
Four hours left to win £100 of Amazon vouchers!! Don't miss out! Take our short survey to enter 24-10-2016
1. I am fine with part i) and ii) (having the answers being 1.55km and 124° respectively). It is just part iii) I am struggling with; I know that it is the height of the triangle from angle C to AB that I have to go about doing. A walkthrough would be greatly appreciated.
Attached Images

2. (Original post by Earl_Earl)
I am fine with part i) and ii) (having the answers being 1.55km and 124° respectively). It is just part iii) I am struggling with; I know that it is the height of the triangle from angle C to AB that I have to go about doing. A walkthrough would be greatly appreciated.
Yes, indeed. The shortest distance to a point from a line is the line drawn from the point C that intersects the line AB perpendicularly. This should make intuitive sense. Once that's done, you know have a right-angled trianngle. You know the hypotenuse and you know one of the angles. Hence sin(angle) = opposite/hypotenuse. This then lets you find the opposite which is what you want.

As attached below:

The red line is the distance you want, it is also the 'opposite' to the angle 40 degrees and the blue line is your hypoteneuse.
3. I need to learn how to spell hypothenuse. #IlliterateMathmos
4. (Original post by Zacken)
I need to learn how to spell hypothenuse. #IlliterateMathmos
Thank you
5. (Original post by Earl_Earl)
Thank you
No problem.
6. (Original post by Zacken)
I need to learn how to spell hypothenuse. #IlliterateMathmos
Hypothenuse is pretty much obsolete in English speaking countries. Hypotenuse is the common spelling nowadays.
7. (Original post by notnek)
Hypothenuse is pretty much obsolete in English speaking countries. Hypotenuse is the common spelling nowadays.
Oh god, I spelt it wrong again.

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 18, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Who is getting a uni offer this half term?

Find out which unis are hot off the mark here

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams