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A ship sets off on a bearing of 072 degrees from port and travels 3.4km in a straight line. How far north of the ship's starting position is its final position? Give your answer to two decimal places.

From SOHCAHTOA we choose CAH based on trianglecos(theta)= adjacent / hypcos(72)=x / 3.4
3.4cos(72)=xOn calculator find x=1.0506... =1.05 (2dp)

Answered by Jessica M. Maths tutor
3032 Views

Why do we use simultaneous equations?

Simultaneous equations are used to help us find unknown values. An example of simultaneous equations is:1) x + y = 62) 2x + 3y = 16We don't know what the value or X or Y is but we know that together they ...

Answered by Amelia G. Maths tutor
2545 Views

Find the value of X in the equation X^2 + 9X - 22 = 0

There are 3 ways of solving this but I will go through the 2 that are necessary for GCSE level
Firstly - 22 can only be made by 122 or 211 -------> 11 - 2 = 9 therefore 1...

Answered by Christopher A. Maths tutor
3758 Views

Rearrange the equation y = 3(x+1)/4, making x the subject.

Firstly, before we even approach the bracket containing the x term, we want to deal with the fraction. The first step should be multiplying by 4 to cancel out the denominator on the right. This leaves us ...

Answered by Mustafa C. Maths tutor
2999 Views

15x^2 − 4x + x^2 + 9x − x − 6x^2 =

15x^2 − 4x + x^2 + 9x − x − 6x^2 = ?First you can break up the question and sort out the x^2 part of the equation to make it easier: 15x^2 + x^2 − 6x^2 = 10x^2Then you are left with solving the second p...

Answered by Jonjo H. Maths tutor
3621 Views

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